Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 143.3 | ||
Character | \(\chi\) | \(=\) | 210.143 |
Dual form | 210.3.w.a.47.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.366025 | − | 1.36603i | 0.183013 | − | 0.683013i | ||||
\(3\) | −2.45437 | − | 1.72513i | −0.818123 | − | 0.575044i | ||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 2.65653 | + | 4.23590i | 0.531307 | + | 0.847179i | ||||
\(6\) | −3.25493 | + | 2.72129i | −0.542489 | + | 0.453548i | ||||
\(7\) | 3.47039 | + | 6.07917i | 0.495771 | + | 0.868454i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 3.04785 | + | 8.46821i | 0.338650 | + | 0.940913i | ||||
\(10\) | 6.75870 | − | 2.07845i | 0.675870 | − | 0.207845i | ||||
\(11\) | 5.23131 | + | 3.02030i | 0.475574 | + | 0.274573i | 0.718570 | − | 0.695455i | \(-0.244797\pi\) |
−0.242996 | + | 0.970027i | \(0.578130\pi\) | |||||||
\(12\) | 2.52596 | + | 5.44238i | 0.210497 | + | 0.453532i | ||||
\(13\) | 7.33446 | − | 7.33446i | 0.564189 | − | 0.564189i | −0.366305 | − | 0.930495i | \(-0.619377\pi\) |
0.930495 | + | 0.366305i | \(0.119377\pi\) | |||||||
\(14\) | 9.57456 | − | 2.51551i | 0.683897 | − | 0.179680i | ||||
\(15\) | 0.787362 | − | 14.9793i | 0.0524908 | − | 0.998621i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 6.03451 | + | 22.5211i | 0.354971 | + | 1.32477i | 0.880520 | + | 0.474008i | \(0.157193\pi\) |
−0.525549 | + | 0.850763i | \(0.676140\pi\) | |||||||
\(18\) | 12.6834 | − | 1.06386i | 0.704632 | − | 0.0591032i | ||||
\(19\) | −17.0920 | − | 29.6042i | −0.899578 | − | 1.55811i | −0.828034 | − | 0.560678i | \(-0.810541\pi\) |
−0.0715438 | − | 0.997437i | \(-0.522793\pi\) | |||||||
\(20\) | −0.365356 | − | 9.99332i | −0.0182678 | − | 0.499666i | ||||
\(21\) | 1.96974 | − | 20.9074i | 0.0937974 | − | 0.995591i | ||||
\(22\) | 6.04060 | − | 6.04060i | 0.274573 | − | 0.274573i | ||||
\(23\) | 26.5519 | + | 7.11456i | 1.15443 | + | 0.309329i | 0.784739 | − | 0.619826i | \(-0.212797\pi\) |
0.369691 | + | 0.929155i | \(0.379464\pi\) | |||||||
\(24\) | 8.35900 | − | 1.45848i | 0.348292 | − | 0.0607698i | ||||
\(25\) | −10.8856 | + | 22.5056i | −0.435426 | + | 0.900225i | ||||
\(26\) | −7.33446 | − | 12.7037i | −0.282095 | − | 0.488602i | ||||
\(27\) | 7.12823 | − | 26.0420i | 0.264009 | − | 0.964520i | ||||
\(28\) | 0.0682753 | − | 13.9998i | 0.00243840 | − | 0.499994i | ||||
\(29\) | −6.86667 | −0.236782 | −0.118391 | − | 0.992967i | \(-0.537774\pi\) | ||||
−0.118391 | + | 0.992967i | \(0.537774\pi\) | |||||||
\(30\) | −20.1739 | − | 6.55837i | −0.672465 | − | 0.218612i | ||||
\(31\) | 38.9114 | + | 22.4655i | 1.25520 | + | 0.724693i | 0.972138 | − | 0.234407i | \(-0.0753150\pi\) |
0.283066 | + | 0.959100i | \(0.408648\pi\) | |||||||
\(32\) | 5.46410 | − | 1.46410i | 0.170753 | − | 0.0457532i | ||||
\(33\) | −7.62915 | − | 16.4376i | −0.231186 | − | 0.498110i | ||||
\(34\) | 32.9732 | 0.969800 | ||||||||
\(35\) | −16.5315 | + | 30.8498i | −0.472330 | + | 0.881422i | ||||
\(36\) | 3.18919 | − | 17.7152i | 0.0885885 | − | 0.492090i | ||||
\(37\) | 34.1241 | + | 9.14352i | 0.922272 | + | 0.247122i | 0.688556 | − | 0.725183i | \(-0.258245\pi\) |
0.233716 | + | 0.972305i | \(0.424911\pi\) | |||||||
\(38\) | −46.6962 | + | 12.5122i | −1.22885 | + | 0.329268i | ||||
\(39\) | −30.6544 | + | 5.34857i | −0.786010 | + | 0.137143i | ||||
\(40\) | −13.7849 | − | 3.15873i | −0.344622 | − | 0.0789681i | ||||
\(41\) | −18.2221 | −0.444442 | −0.222221 | − | 0.974996i | \(-0.571331\pi\) | ||||
−0.222221 | + | 0.974996i | \(0.571331\pi\) | |||||||
\(42\) | −27.8391 | − | 10.3434i | −0.662835 | − | 0.246271i | ||||
\(43\) | 17.2571 | + | 17.2571i | 0.401329 | + | 0.401329i | 0.878701 | − | 0.477372i | \(-0.158411\pi\) |
−0.477372 | + | 0.878701i | \(0.658411\pi\) | |||||||
\(44\) | −6.04060 | − | 10.4626i | −0.137286 | − | 0.237787i | ||||
\(45\) | −27.7738 | + | 35.4065i | −0.617195 | + | 0.786810i | ||||
\(46\) | 19.4373 | − | 33.6664i | 0.422551 | − | 0.731879i | ||||
\(47\) | −23.3212 | − | 6.24890i | −0.496196 | − | 0.132955i | 0.00203792 | − | 0.999998i | \(-0.499351\pi\) |
−0.498234 | + | 0.867043i | \(0.666018\pi\) | |||||||
\(48\) | 1.06729 | − | 11.9524i | 0.0222352 | − | 0.249009i | ||||
\(49\) | −24.9127 | + | 42.1943i | −0.508423 | + | 0.861107i | ||||
\(50\) | 26.7588 | + | 23.1077i | 0.535176 | + | 0.462154i | ||||
\(51\) | 24.0409 | − | 65.6854i | 0.471391 | − | 1.28795i | ||||
\(52\) | −20.0381 | + | 5.36920i | −0.385349 | + | 0.103254i | ||||
\(53\) | 20.7100 | + | 77.2906i | 0.390754 | + | 1.45831i | 0.828893 | + | 0.559407i | \(0.188971\pi\) |
−0.438139 | + | 0.898907i | \(0.644362\pi\) | |||||||
\(54\) | −32.9650 | − | 19.2694i | −0.610463 | − | 0.356841i | ||||
\(55\) | 1.10348 | + | 30.1828i | 0.0200633 | + | 0.548779i | ||||
\(56\) | −19.0991 | − | 5.21756i | −0.341056 | − | 0.0931707i | ||||
\(57\) | −9.12106 | + | 102.145i | −0.160019 | + | 1.79203i | ||||
\(58\) | −2.51338 | + | 9.38005i | −0.0433341 | + | 0.161725i | ||||
\(59\) | −97.9689 | − | 56.5624i | −1.66049 | − | 0.958684i | −0.972481 | − | 0.232982i | \(-0.925152\pi\) |
−0.688009 | − | 0.725702i | \(-0.741515\pi\) | |||||||
\(60\) | −16.3431 | + | 25.1576i | −0.272385 | + | 0.419293i | ||||
\(61\) | 16.8856 | − | 9.74888i | 0.276812 | − | 0.159818i | −0.355167 | − | 0.934803i | \(-0.615576\pi\) |
0.631979 | + | 0.774985i | \(0.282243\pi\) | |||||||
\(62\) | 44.9310 | − | 44.9310i | 0.724693 | − | 0.724693i | ||||
\(63\) | −40.9025 | + | 47.9164i | −0.649246 | + | 0.760578i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 50.5523 | + | 11.5838i | 0.777727 | + | 0.178212i | ||||
\(66\) | −25.2467 | + | 4.40503i | −0.382525 | + | 0.0667429i | ||||
\(67\) | −2.92860 | − | 10.9297i | −0.0437104 | − | 0.163130i | 0.940621 | − | 0.339459i | \(-0.110244\pi\) |
−0.984331 | + | 0.176330i | \(0.943577\pi\) | |||||||
\(68\) | 12.0690 | − | 45.0422i | 0.177486 | − | 0.662386i | ||||
\(69\) | −52.8946 | − | 63.2672i | −0.766588 | − | 0.916916i | ||||
\(70\) | 36.0906 | + | 33.8743i | 0.515580 | + | 0.483919i | ||||
\(71\) | − | 80.6556i | − | 1.13599i | −0.823030 | − | 0.567997i | \(-0.807718\pi\) | ||
0.823030 | − | 0.567997i | \(-0.192282\pi\) | |||||||
\(72\) | −23.0321 | − | 10.8407i | −0.319891 | − | 0.150566i | ||||
\(73\) | −0.519481 | − | 1.93873i | −0.00711618 | − | 0.0265579i | 0.962276 | − | 0.272074i | \(-0.0877094\pi\) |
−0.969393 | + | 0.245516i | \(0.921043\pi\) | |||||||
\(74\) | 24.9805 | − | 43.2676i | 0.337575 | − | 0.584697i | ||||
\(75\) | 65.5425 | − | 36.4579i | 0.873900 | − | 0.486105i | ||||
\(76\) | 68.3679i | 0.899578i | ||||||||
\(77\) | −0.206212 | + | 42.2837i | −0.00267807 | + | 0.549139i | ||||
\(78\) | −3.91400 | + | 43.8324i | −0.0501796 | + | 0.561954i | ||||
\(79\) | 73.1841 | − | 42.2528i | 0.926381 | − | 0.534846i | 0.0407156 | − | 0.999171i | \(-0.487036\pi\) |
0.885665 | + | 0.464325i | \(0.153703\pi\) | |||||||
\(80\) | −9.36051 | + | 17.6743i | −0.117006 | + | 0.220929i | ||||
\(81\) | −62.4212 | + | 51.6196i | −0.770633 | + | 0.637280i | ||||
\(82\) | −6.66976 | + | 24.8919i | −0.0813385 | + | 0.303559i | ||||
\(83\) | 4.56113 | + | 4.56113i | 0.0549533 | + | 0.0549533i | 0.734049 | − | 0.679096i | \(-0.237628\pi\) |
−0.679096 | + | 0.734049i | \(0.737628\pi\) | |||||||
\(84\) | −24.3191 | + | 34.2430i | −0.289513 | + | 0.407654i | ||||
\(85\) | −79.3662 | + | 85.3897i | −0.933720 | + | 1.00458i | ||||
\(86\) | 29.8902 | − | 17.2571i | 0.347561 | − | 0.200664i | ||||
\(87\) | 16.8533 | + | 11.8459i | 0.193717 | + | 0.136160i | ||||
\(88\) | −16.5032 | + | 4.42202i | −0.187537 | + | 0.0502503i | ||||
\(89\) | −21.5716 | + | 12.4544i | −0.242377 | + | 0.139937i | −0.616269 | − | 0.787536i | \(-0.711357\pi\) |
0.373892 | + | 0.927472i | \(0.378023\pi\) | |||||||
\(90\) | 38.2002 | + | 50.8993i | 0.424447 | + | 0.565548i | ||||
\(91\) | 70.0410 | + | 19.1340i | 0.769681 | + | 0.210264i | ||||
\(92\) | −38.8747 | − | 38.8747i | −0.422551 | − | 0.422551i | ||||
\(93\) | −56.7469 | − | 122.266i | −0.610182 | − | 1.31469i | ||||
\(94\) | −17.0723 | + | 29.5701i | −0.181620 | + | 0.314576i | ||||
\(95\) | 79.9948 | − | 151.044i | 0.842051 | − | 1.58994i | ||||
\(96\) | −15.9367 | − | 5.83284i | −0.166007 | − | 0.0607588i | ||||
\(97\) | −38.4454 | − | 38.4454i | −0.396345 | − | 0.396345i | 0.480597 | − | 0.876942i | \(-0.340420\pi\) |
−0.876942 | + | 0.480597i | \(0.840420\pi\) | |||||||
\(98\) | 48.5197 | + | 49.4756i | 0.495099 | + | 0.504853i | ||||
\(99\) | −9.63229 | + | 53.5053i | −0.0972959 | + | 0.540457i | ||||
\(100\) | 41.3601 | − | 28.0952i | 0.413601 | − | 0.280952i | ||||
\(101\) | 11.7303 | − | 20.3175i | 0.116142 | − | 0.201163i | −0.802094 | − | 0.597198i | \(-0.796281\pi\) |
0.918235 | + | 0.396035i | \(0.129614\pi\) | |||||||
\(102\) | −80.9284 | − | 56.8831i | −0.793416 | − | 0.557677i | ||||
\(103\) | −181.632 | − | 48.6683i | −1.76342 | − | 0.472507i | −0.776015 | − | 0.630714i | \(-0.782762\pi\) |
−0.987406 | + | 0.158207i | \(0.949429\pi\) | |||||||
\(104\) | 29.3379i | 0.282095i | ||||||||
\(105\) | 93.7944 | − | 47.1976i | 0.893280 | − | 0.449501i | ||||
\(106\) | 113.161 | 1.06756 | ||||||||
\(107\) | −21.5174 | + | 80.3041i | −0.201097 | + | 0.750506i | 0.789506 | + | 0.613742i | \(0.210337\pi\) |
−0.990604 | + | 0.136763i | \(0.956330\pi\) | |||||||
\(108\) | −38.3885 | + | 37.9779i | −0.355449 | + | 0.351647i | ||||
\(109\) | −28.9994 | − | 16.7428i | −0.266049 | − | 0.153604i | 0.361042 | − | 0.932550i | \(-0.382421\pi\) |
−0.627091 | + | 0.778946i | \(0.715755\pi\) | |||||||
\(110\) | 41.6344 | + | 9.54029i | 0.378495 | + | 0.0867299i | ||||
\(111\) | −67.9793 | − | 81.3100i | −0.612426 | − | 0.732523i | ||||
\(112\) | −14.1181 | + | 24.1801i | −0.126054 | + | 0.215894i | ||||
\(113\) | 12.6123 | − | 12.6123i | 0.111613 | − | 0.111613i | −0.649095 | − | 0.760708i | \(-0.724852\pi\) |
0.760708 | + | 0.649095i | \(0.224852\pi\) | |||||||
\(114\) | 136.195 | + | 49.8474i | 1.19469 | + | 0.437258i | ||||
\(115\) | 40.3995 | + | 131.371i | 0.351300 | + | 1.14236i | ||||
\(116\) | 11.8934 | + | 6.86667i | 0.102530 | + | 0.0591954i | ||||
\(117\) | 84.4641 | + | 39.7555i | 0.721916 | + | 0.339790i | ||||
\(118\) | −113.125 | + | 113.125i | −0.958684 | + | 0.958684i | ||||
\(119\) | −115.968 | + | 114.842i | −0.974518 | + | 0.965059i | ||||
\(120\) | 28.3839 | + | 31.5334i | 0.236533 | + | 0.262778i | ||||
\(121\) | −42.2556 | − | 73.1888i | −0.349220 | − | 0.604866i | ||||
\(122\) | −7.13668 | − | 26.6344i | −0.0584973 | − | 0.218315i | ||||
\(123\) | 44.7238 | + | 31.4355i | 0.363608 | + | 0.255573i | ||||
\(124\) | −44.9310 | − | 77.8227i | −0.362346 | − | 0.627602i | ||||
\(125\) | −124.250 | + | 13.6764i | −0.993997 | + | 0.109412i | ||||
\(126\) | 50.4837 | + | 73.4125i | 0.400664 | + | 0.582639i | ||||
\(127\) | 147.938 | − | 147.938i | 1.16486 | − | 1.16486i | 0.181467 | − | 0.983397i | \(-0.441915\pi\) |
0.983397 | − | 0.181467i | \(-0.0580847\pi\) | |||||||
\(128\) | −10.9282 | − | 2.92820i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | −12.5846 | − | 72.1262i | −0.0975547 | − | 0.559118i | ||||
\(130\) | 34.3272 | − | 64.8157i | 0.264055 | − | 0.498583i | ||||
\(131\) | −74.8356 | − | 129.619i | −0.571264 | − | 0.989459i | −0.996436 | − | 0.0843465i | \(-0.973120\pi\) |
0.425172 | − | 0.905113i | \(-0.360214\pi\) | |||||||
\(132\) | −3.22354 | + | 36.0999i | −0.0244207 | + | 0.273484i | ||||
\(133\) | 120.653 | − | 206.643i | 0.907166 | − | 1.55371i | ||||
\(134\) | −16.0022 | −0.119419 | ||||||||
\(135\) | 129.248 | − | 38.9871i | 0.957391 | − | 0.288794i | ||||
\(136\) | −57.1113 | − | 32.9732i | −0.419936 | − | 0.242450i | ||||
\(137\) | −24.4126 | + | 6.54134i | −0.178194 | + | 0.0477470i | −0.346813 | − | 0.937934i | \(-0.612736\pi\) |
0.168619 | + | 0.985681i | \(0.446069\pi\) | |||||||
\(138\) | −105.785 | + | 49.0979i | −0.766561 | + | 0.355782i | ||||
\(139\) | 237.437 | 1.70818 | 0.854090 | − | 0.520125i | \(-0.174115\pi\) | ||||
0.854090 | + | 0.520125i | \(0.174115\pi\) | |||||||
\(140\) | 59.4832 | − | 36.9018i | 0.424880 | − | 0.263585i | ||||
\(141\) | 46.4587 | + | 55.5693i | 0.329494 | + | 0.394108i | ||||
\(142\) | −110.178 | − | 29.5220i | −0.775899 | − | 0.207901i | ||||
\(143\) | 60.5211 | − | 16.2166i | 0.423225 | − | 0.113403i | ||||
\(144\) | −23.2391 | + | 27.4945i | −0.161382 | + | 0.190934i | ||||
\(145\) | −18.2415 | − | 29.0865i | −0.125804 | − | 0.200597i | ||||
\(146\) | −2.83850 | −0.0194418 | ||||||||
\(147\) | 133.936 | − | 60.5826i | 0.911127 | − | 0.412126i | ||||
\(148\) | −49.9611 | − | 49.9611i | −0.337575 | − | 0.337575i | ||||
\(149\) | 19.6566 | + | 34.0462i | 0.131924 | + | 0.228498i | 0.924418 | − | 0.381381i | \(-0.124551\pi\) |
−0.792494 | + | 0.609879i | \(0.791218\pi\) | |||||||
\(150\) | −25.8122 | − | 102.877i | −0.172081 | − | 0.685848i | ||||
\(151\) | −19.0601 | + | 33.0130i | −0.126226 | + | 0.218629i | −0.922211 | − | 0.386686i | \(-0.873620\pi\) |
0.795986 | + | 0.605315i | \(0.206953\pi\) | |||||||
\(152\) | 93.3923 | + | 25.0244i | 0.614423 | + | 0.164634i | ||||
\(153\) | −172.321 | + | 119.742i | −1.12628 | + | 0.782631i | ||||
\(154\) | 57.6851 | + | 15.7586i | 0.374579 | + | 0.102329i | ||||
\(155\) | 8.20789 | + | 224.505i | 0.0529541 | + | 1.44842i | ||||
\(156\) | 58.4435 | + | 21.3904i | 0.374638 | + | 0.137118i | ||||
\(157\) | 57.9306 | − | 15.5225i | 0.368985 | − | 0.0988692i | −0.0695618 | − | 0.997578i | \(-0.522160\pi\) |
0.438547 | + | 0.898708i | \(0.355493\pi\) | |||||||
\(158\) | −30.9312 | − | 115.437i | −0.195767 | − | 0.730613i | ||||
\(159\) | 82.5066 | − | 225.427i | 0.518909 | − | 1.41778i | ||||
\(160\) | 20.7174 | + | 19.2559i | 0.129483 | + | 0.120350i | ||||
\(161\) | 48.8949 | + | 186.104i | 0.303695 | + | 1.15592i | ||||
\(162\) | 47.6660 | + | 104.163i | 0.294234 | + | 0.642982i | ||||
\(163\) | −1.51316 | + | 5.64718i | −0.00928317 | + | 0.0346453i | −0.970412 | − | 0.241455i | \(-0.922375\pi\) |
0.961129 | + | 0.276100i | \(0.0890421\pi\) | |||||||
\(164\) | 31.5616 | + | 18.2221i | 0.192449 | + | 0.111110i | ||||
\(165\) | 49.3610 | − | 75.9834i | 0.299157 | − | 0.460505i | ||||
\(166\) | 7.90010 | − | 4.56113i | 0.0475910 | − | 0.0274767i | ||||
\(167\) | 6.13829 | − | 6.13829i | 0.0367562 | − | 0.0367562i | −0.688490 | − | 0.725246i | \(-0.741726\pi\) |
0.725246 | + | 0.688490i | \(0.241726\pi\) | |||||||
\(168\) | 37.8753 | + | 45.7543i | 0.225448 | + | 0.272347i | ||||
\(169\) | 61.4113i | 0.363381i | ||||||||
\(170\) | 87.5944 | + | 139.671i | 0.515261 | + | 0.821595i | ||||
\(171\) | 198.601 | − | 234.968i | 1.16141 | − | 1.37408i | ||||
\(172\) | −12.6331 | − | 47.1474i | −0.0734483 | − | 0.274113i | ||||
\(173\) | 52.1359 | − | 194.574i | 0.301363 | − | 1.12470i | −0.634668 | − | 0.772785i | \(-0.718863\pi\) |
0.936031 | − | 0.351918i | \(-0.114470\pi\) | |||||||
\(174\) | 22.3506 | − | 18.6862i | 0.128451 | − | 0.107392i | ||||
\(175\) | −174.593 | + | 11.9276i | −0.997675 | + | 0.0681577i | ||||
\(176\) | 24.1624i | 0.137286i | ||||||||
\(177\) | 142.874 | + | 307.834i | 0.807199 | + | 1.73918i | ||||
\(178\) | 9.11722 | + | 34.0259i | 0.0512203 | + | 0.191157i | ||||
\(179\) | −17.6436 | + | 30.5596i | −0.0985676 | + | 0.170724i | −0.911092 | − | 0.412203i | \(-0.864759\pi\) |
0.812524 | + | 0.582927i | \(0.198093\pi\) | |||||||
\(180\) | 83.5120 | − | 33.5520i | 0.463956 | − | 0.186400i | ||||
\(181\) | − | 194.579i | − | 1.07502i | −0.843258 | − | 0.537510i | \(-0.819365\pi\) | ||
0.843258 | − | 0.537510i | \(-0.180635\pi\) | |||||||
\(182\) | 51.7743 | − | 88.6742i | 0.284474 | − | 0.487221i | ||||
\(183\) | −58.2615 | − | 5.20245i | −0.318369 | − | 0.0284287i | ||||
\(184\) | −67.3329 | + | 38.8747i | −0.365940 | + | 0.211275i | ||||
\(185\) | 51.9208 | + | 168.836i | 0.280653 | + | 0.912628i | ||||
\(186\) | −187.789 | + | 32.7653i | −1.00962 | + | 0.176158i | ||||
\(187\) | −36.4521 | + | 136.041i | −0.194931 | + | 0.727492i | ||||
\(188\) | 34.1446 | + | 34.1446i | 0.181620 | + | 0.181620i | ||||
\(189\) | 183.052 | − | 47.0424i | 0.968529 | − | 0.248902i | ||||
\(190\) | −177.050 | − | 164.561i | −0.931844 | − | 0.866111i | ||||
\(191\) | 114.428 | − | 66.0651i | 0.599100 | − | 0.345890i | −0.169588 | − | 0.985515i | \(-0.554244\pi\) |
0.768687 | + | 0.639625i | \(0.220910\pi\) | |||||||
\(192\) | −13.8010 | + | 19.6349i | −0.0718804 | + | 0.102265i | ||||
\(193\) | −203.018 | + | 54.3985i | −1.05191 | + | 0.281858i | −0.743039 | − | 0.669248i | \(-0.766617\pi\) |
−0.308867 | + | 0.951105i | \(0.599950\pi\) | |||||||
\(194\) | −66.5894 | + | 38.4454i | −0.343244 | + | 0.198172i | ||||
\(195\) | −104.090 | − | 115.640i | −0.533797 | − | 0.593026i | ||||
\(196\) | 85.3444 | − | 48.1699i | 0.435430 | − | 0.245765i | ||||
\(197\) | −94.5121 | − | 94.5121i | −0.479757 | − | 0.479757i | 0.425297 | − | 0.905054i | \(-0.360170\pi\) |
−0.905054 | + | 0.425297i | \(0.860170\pi\) | |||||||
\(198\) | 69.5639 | + | 32.7422i | 0.351333 | + | 0.165365i | ||||
\(199\) | −182.775 | + | 316.575i | −0.918465 | + | 1.59083i | −0.116717 | + | 0.993165i | \(0.537237\pi\) |
−0.801748 | + | 0.597663i | \(0.796096\pi\) | |||||||
\(200\) | −23.2399 | − | 66.7825i | −0.116200 | − | 0.333913i | ||||
\(201\) | −11.6673 | + | 31.8777i | −0.0580461 | + | 0.158595i | ||||
\(202\) | −23.4606 | − | 23.4606i | −0.116142 | − | 0.116142i | ||||
\(203\) | −23.8301 | − | 41.7437i | −0.117389 | − | 0.205634i | ||||
\(204\) | −107.326 | + | 89.7296i | −0.526106 | + | 0.439851i | ||||
\(205\) | −48.4077 | − | 77.1870i | −0.236135 | − | 0.376522i | ||||
\(206\) | −132.964 | + | 230.301i | −0.645457 | + | 1.11796i | ||||
\(207\) | 20.6785 | + | 246.531i | 0.0998963 | + | 1.19097i | ||||
\(208\) | 40.0763 | + | 10.7384i | 0.192674 | + | 0.0516269i | ||||
\(209\) | − | 206.492i | − | 0.987998i | ||||||
\(210\) | −30.1421 | − | 145.401i | −0.143534 | − | 0.692386i | ||||
\(211\) | 49.4419 | 0.234322 | 0.117161 | − | 0.993113i | \(-0.462621\pi\) | ||||
0.117161 | + | 0.993113i | \(0.462621\pi\) | |||||||
\(212\) | 41.4199 | − | 154.581i | 0.195377 | − | 0.729157i | ||||
\(213\) | −139.141 | + | 197.959i | −0.653246 | + | 0.929383i | ||||
\(214\) | 101.822 | + | 58.7867i | 0.475801 | + | 0.274704i | ||||
\(215\) | −27.2553 | + | 118.944i | −0.126769 | + | 0.553226i | ||||
\(216\) | 37.8276 | + | 66.3406i | 0.175128 | + | 0.307132i | ||||
\(217\) | −1.53384 | + | 314.513i | −0.00706837 | + | 1.44937i | ||||
\(218\) | −33.4856 | + | 33.4856i | −0.153604 | + | 0.153604i | ||||
\(219\) | −2.06956 | + | 5.65453i | −0.00945006 | + | 0.0258198i | ||||
\(220\) | 28.2715 | − | 53.3817i | 0.128507 | − | 0.242644i | ||||
\(221\) | 209.440 | + | 120.920i | 0.947693 | + | 0.547151i | ||||
\(222\) | −135.954 | + | 63.0999i | −0.612404 | + | 0.284234i | ||||
\(223\) | 147.669 | − | 147.669i | 0.662195 | − | 0.662195i | −0.293702 | − | 0.955897i | \(-0.594887\pi\) |
0.955897 | + | 0.293702i | \(0.0948873\pi\) | |||||||
\(224\) | 27.8631 | + | 28.1362i | 0.124389 | + | 0.125608i | ||||
\(225\) | −223.760 | − | 23.5883i | −0.994489 | − | 0.104837i | ||||
\(226\) | −12.6123 | − | 21.8451i | −0.0558066 | − | 0.0966599i | ||||
\(227\) | −56.9475 | − | 212.531i | −0.250870 | − | 0.936259i | −0.970342 | − | 0.241738i | \(-0.922283\pi\) |
0.719472 | − | 0.694522i | \(-0.244384\pi\) | |||||||
\(228\) | 117.944 | − | 167.800i | 0.517297 | − | 0.735965i | ||||
\(229\) | −149.624 | − | 259.157i | −0.653380 | − | 1.13169i | −0.982297 | − | 0.187329i | \(-0.940017\pi\) |
0.328917 | − | 0.944359i | \(-0.393316\pi\) | |||||||
\(230\) | 194.244 | − | 7.10154i | 0.844537 | − | 0.0308762i | ||||
\(231\) | 73.4510 | − | 103.424i | 0.317970 | − | 0.447723i | ||||
\(232\) | 13.7333 | − | 13.7333i | 0.0591954 | − | 0.0591954i | ||||
\(233\) | 115.890 | + | 31.0526i | 0.497381 | + | 0.133273i | 0.498784 | − | 0.866726i | \(-0.333780\pi\) |
−0.00140324 | + | 0.999999i | \(0.500447\pi\) | |||||||
\(234\) | 85.2230 | − | 100.829i | 0.364201 | − | 0.430892i | ||||
\(235\) | −35.4839 | − | 115.387i | −0.150995 | − | 0.491007i | ||||
\(236\) | 113.125 | + | 195.938i | 0.479342 | + | 0.830245i | ||||
\(237\) | −252.512 | − | 22.5481i | −1.06545 | − | 0.0951395i | ||||
\(238\) | 114.430 | + | 200.450i | 0.480798 | + | 0.842226i | ||||
\(239\) | −395.609 | −1.65527 | −0.827634 | − | 0.561268i | \(-0.810314\pi\) | ||||
−0.827634 | + | 0.561268i | \(0.810314\pi\) | |||||||
\(240\) | 53.4646 | − | 27.2311i | 0.222769 | − | 0.113463i | ||||
\(241\) | −191.579 | − | 110.608i | −0.794934 | − | 0.458956i | 0.0467624 | − | 0.998906i | \(-0.485110\pi\) |
−0.841697 | + | 0.539950i | \(0.818443\pi\) | |||||||
\(242\) | −115.444 | + | 30.9332i | −0.477043 | + | 0.127823i | ||||
\(243\) | 242.255 | − | 19.0088i | 0.996936 | − | 0.0782256i | ||||
\(244\) | −38.9955 | −0.159818 | ||||||||
\(245\) | −244.912 | + | 6.56277i | −0.999641 | + | 0.0267868i | ||||
\(246\) | 59.3118 | − | 49.5876i | 0.241105 | − | 0.201576i | ||||
\(247\) | −342.491 | − | 91.7703i | −1.38660 | − | 0.371540i | ||||
\(248\) | −122.754 | + | 32.8917i | −0.494974 | + | 0.132628i | ||||
\(249\) | −3.32615 | − | 19.0632i | −0.0133580 | − | 0.0765591i | ||||
\(250\) | −26.7961 | + | 174.734i | −0.107184 | + | 0.698936i | ||||
\(251\) | −231.794 | −0.923482 | −0.461741 | − | 0.887015i | \(-0.652775\pi\) | ||||
−0.461741 | + | 0.887015i | \(0.652775\pi\) | |||||||
\(252\) | 118.762 | − | 42.0912i | 0.471276 | − | 0.167029i | ||||
\(253\) | 117.413 | + | 117.413i | 0.464083 | + | 0.464083i | ||||
\(254\) | −147.938 | − | 256.236i | −0.582432 | − | 1.00880i | ||||
\(255\) | 342.102 | − | 72.6607i | 1.34158 | − | 0.284944i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 31.1578 | + | 8.34872i | 0.121237 | + | 0.0324853i | 0.318927 | − | 0.947779i | \(-0.396677\pi\) |
−0.197691 | + | 0.980264i | \(0.563344\pi\) | |||||||
\(258\) | −103.132 | − | 9.20920i | −0.399738 | − | 0.0356946i | ||||
\(259\) | 62.8389 | + | 239.178i | 0.242621 | + | 0.923466i | ||||
\(260\) | −75.9753 | − | 70.6160i | −0.292213 | − | 0.271600i | ||||
\(261\) | −20.9286 | − | 58.1484i | −0.0801861 | − | 0.222791i | ||||
\(262\) | −204.455 | + | 54.7835i | −0.780362 | + | 0.209097i | ||||
\(263\) | 43.2538 | + | 161.425i | 0.164463 | + | 0.613785i | 0.998108 | + | 0.0614840i | \(0.0195833\pi\) |
−0.833645 | + | 0.552301i | \(0.813750\pi\) | |||||||
\(264\) | 48.1335 | + | 17.6169i | 0.182324 | + | 0.0667308i | ||||
\(265\) | −272.378 | + | 293.051i | −1.02784 | + | 1.10585i | ||||
\(266\) | −238.118 | − | 240.452i | −0.895180 | − | 0.903954i | ||||
\(267\) | 74.4300 | + | 6.64621i | 0.278764 | + | 0.0248922i | ||||
\(268\) | −5.85720 | + | 21.8594i | −0.0218552 | + | 0.0815648i | ||||
\(269\) | 302.162 | + | 174.453i | 1.12328 | + | 0.648526i | 0.942236 | − | 0.334949i | \(-0.108719\pi\) |
0.181043 | + | 0.983475i | \(0.442053\pi\) | |||||||
\(270\) | −5.94944 | − | 190.826i | −0.0220349 | − | 0.706763i | ||||
\(271\) | 17.0749 | − | 9.85817i | 0.0630068 | − | 0.0363770i | −0.468166 | − | 0.883641i | \(-0.655085\pi\) |
0.531172 | + | 0.847264i | \(0.321752\pi\) | |||||||
\(272\) | −65.9464 | + | 65.9464i | −0.242450 | + | 0.242450i | ||||
\(273\) | −138.898 | − | 167.792i | −0.508783 | − | 0.614622i | ||||
\(274\) | 35.7425i | 0.130447i | ||||||||
\(275\) | −124.920 | + | 84.8559i | −0.454254 | + | 0.308567i | ||||
\(276\) | 28.3489 | + | 162.477i | 0.102713 | + | 0.588683i | ||||
\(277\) | −57.9983 | − | 216.453i | −0.209380 | − | 0.781417i | −0.988070 | − | 0.154008i | \(-0.950782\pi\) |
0.778690 | − | 0.627409i | \(-0.215885\pi\) | |||||||
\(278\) | 86.9080 | − | 324.345i | 0.312619 | − | 1.16671i | ||||
\(279\) | −71.6466 | + | 397.981i | −0.256798 | + | 1.42646i | ||||
\(280\) | −28.6365 | − | 94.7626i | −0.102273 | − | 0.338438i | ||||
\(281\) | − | 226.986i | − | 0.807780i | −0.914808 | − | 0.403890i | \(-0.867658\pi\) | ||
0.914808 | − | 0.403890i | \(-0.132342\pi\) | |||||||
\(282\) | 92.9141 | − | 43.1240i | 0.329483 | − | 0.152922i | ||||
\(283\) | −24.8120 | − | 92.5997i | −0.0876750 | − | 0.327208i | 0.908132 | − | 0.418683i | \(-0.137508\pi\) |
−0.995807 | + | 0.0914758i | \(0.970842\pi\) | |||||||
\(284\) | −80.6556 | + | 139.700i | −0.283999 | + | 0.491900i | ||||
\(285\) | −456.908 | + | 232.717i | −1.60319 | + | 0.816551i | ||||
\(286\) | − | 88.6091i | − | 0.309822i | ||||||
\(287\) | −63.2379 | − | 110.775i | −0.220341 | − | 0.385977i | ||||
\(288\) | 29.0521 | + | 41.8088i | 0.100875 | + | 0.145169i | ||||
\(289\) | −220.504 | + | 127.308i | −0.762989 | + | 0.440512i | ||||
\(290\) | −46.4098 | + | 14.2720i | −0.160034 | + | 0.0492138i | ||||
\(291\) | 28.0358 | + | 160.683i | 0.0963431 | + | 0.552174i | ||||
\(292\) | −1.03896 | + | 3.87746i | −0.00355809 | + | 0.0132790i | ||||
\(293\) | 190.809 | + | 190.809i | 0.651224 | + | 0.651224i | 0.953288 | − | 0.302064i | \(-0.0976755\pi\) |
−0.302064 | + | 0.953288i | \(0.597675\pi\) | |||||||
\(294\) | −33.7335 | − | 205.134i | −0.114740 | − | 0.697735i | ||||
\(295\) | −20.6654 | − | 565.246i | −0.0700521 | − | 1.91609i | ||||
\(296\) | −86.5352 | + | 49.9611i | −0.292349 | + | 0.168787i | ||||
\(297\) | 115.945 | − | 114.705i | 0.390386 | − | 0.386211i | ||||
\(298\) | 53.7028 | − | 14.3896i | 0.180211 | − | 0.0482874i | ||||
\(299\) | 246.925 | − | 142.562i | 0.825837 | − | 0.476797i | ||||
\(300\) | −149.981 | − | 2.39559i | −0.499936 | − | 0.00798529i | ||||
\(301\) | −45.0201 | + | 164.798i | −0.149568 | + | 0.547502i | ||||
\(302\) | 38.1201 | + | 38.1201i | 0.126226 | + | 0.126226i | ||||
\(303\) | −63.8407 | + | 29.6303i | −0.210696 | + | 0.0977896i | ||||
\(304\) | 68.3679 | − | 118.417i | 0.224895 | − | 0.389529i | ||||
\(305\) | 86.1523 | + | 45.6272i | 0.282467 | + | 0.149598i | ||||
\(306\) | 100.497 | + | 279.224i | 0.328423 | + | 0.912497i | ||||
\(307\) | 34.1553 | + | 34.1553i | 0.111255 | + | 0.111255i | 0.760543 | − | 0.649288i | \(-0.224933\pi\) |
−0.649288 | + | 0.760543i | \(0.724933\pi\) | |||||||
\(308\) | 42.6408 | − | 73.0313i | 0.138444 | − | 0.237114i | ||||
\(309\) | 361.834 | + | 432.789i | 1.17098 | + | 1.40061i | ||||
\(310\) | 309.684 | + | 70.9623i | 0.998979 | + | 0.228911i | ||||
\(311\) | −272.168 | + | 471.409i | −0.875139 | + | 1.51579i | −0.0185247 | + | 0.999828i | \(0.505897\pi\) |
−0.856614 | + | 0.515957i | \(0.827436\pi\) | |||||||
\(312\) | 50.6116 | − | 72.0059i | 0.162217 | − | 0.230788i | ||||
\(313\) | 444.072 | + | 118.989i | 1.41876 | + | 0.380155i | 0.885043 | − | 0.465509i | \(-0.154129\pi\) |
0.533716 | + | 0.845664i | \(0.320795\pi\) | |||||||
\(314\) | − | 84.8163i | − | 0.270116i | ||||||
\(315\) | −311.628 | − | 45.9672i | −0.989295 | − | 0.145927i | ||||
\(316\) | −169.011 | −0.534846 | ||||||||
\(317\) | −4.81445 | + | 17.9678i | −0.0151875 | + | 0.0566806i | −0.973104 | − | 0.230367i | \(-0.926007\pi\) |
0.957916 | + | 0.287048i | \(0.0926739\pi\) | |||||||
\(318\) | −277.740 | − | 195.218i | −0.873395 | − | 0.613894i | ||||
\(319\) | −35.9217 | − | 20.7394i | −0.112607 | − | 0.0650138i | ||||
\(320\) | 33.8872 | − | 21.2523i | 0.105897 | − | 0.0664134i | ||||
\(321\) | 191.347 | − | 159.975i | 0.596096 | − | 0.498366i | ||||
\(322\) | 272.119 | + | 1.32709i | 0.845091 | + | 0.00412139i | ||||
\(323\) | 563.577 | − | 563.577i | 1.74482 | − | 1.74482i | ||||
\(324\) | 159.736 | − | 26.9866i | 0.493014 | − | 0.0832920i | ||||
\(325\) | 85.2262 | + | 244.907i | 0.262234 | + | 0.753560i | ||||
\(326\) | 7.16033 | + | 4.13402i | 0.0219642 | + | 0.0126810i | ||||
\(327\) | 42.2917 | + | 91.1208i | 0.129332 | + | 0.278657i | ||||
\(328\) | 36.4442 | − | 36.4442i | 0.111110 | − | 0.111110i | ||||
\(329\) | −42.9457 | − | 163.460i | −0.130534 | − | 0.496839i | ||||
\(330\) | −85.7279 | − | 95.2402i | −0.259782 | − | 0.288607i | ||||
\(331\) | −82.1070 | − | 142.213i | −0.248057 | − | 0.429648i | 0.714929 | − | 0.699197i | \(-0.246459\pi\) |
−0.962987 | + | 0.269549i | \(0.913125\pi\) | |||||||
\(332\) | −3.33898 | − | 12.4612i | −0.0100572 | − | 0.0375338i | ||||
\(333\) | 26.5757 | + | 316.838i | 0.0798070 | + | 0.951465i | ||||
\(334\) | −6.13829 | − | 10.6318i | −0.0183781 | − | 0.0318318i | ||||
\(335\) | 38.5171 | − | 41.4403i | 0.114976 | − | 0.123702i | ||||
\(336\) | 76.3649 | − | 34.9914i | 0.227277 | − | 0.104141i | ||||
\(337\) | 182.945 | − | 182.945i | 0.542865 | − | 0.542865i | −0.381503 | − | 0.924368i | \(-0.624593\pi\) |
0.924368 | + | 0.381503i | \(0.124593\pi\) | |||||||
\(338\) | 83.8894 | + | 22.4781i | 0.248194 | + | 0.0665033i | ||||
\(339\) | −52.7131 | + | 9.19736i | −0.155496 | + | 0.0271309i | ||||
\(340\) | 222.856 | − | 68.5331i | 0.655459 | − | 0.201568i | ||||
\(341\) | 135.705 | + | 235.048i | 0.397962 | + | 0.689290i | ||||
\(342\) | −248.279 | − | 357.298i | −0.725961 | − | 1.04473i | ||||
\(343\) | −342.963 | − | 5.01807i | −0.999893 | − | 0.0146300i | ||||
\(344\) | −69.0285 | −0.200664 | ||||||||
\(345\) | 127.477 | − | 392.127i | 0.369499 | − | 1.13660i | ||||
\(346\) | −246.710 | − | 142.438i | −0.713033 | − | 0.411670i | ||||
\(347\) | 73.7960 | − | 19.7736i | 0.212669 | − | 0.0569844i | −0.150912 | − | 0.988547i | \(-0.548221\pi\) |
0.363580 | + | 0.931563i | \(0.381554\pi\) | |||||||
\(348\) | −17.3449 | − | 37.3710i | −0.0498418 | − | 0.107388i | ||||
\(349\) | 601.421 | 1.72327 | 0.861634 | − | 0.507529i | \(-0.169441\pi\) | ||||
0.861634 | + | 0.507529i | \(0.169441\pi\) | |||||||
\(350\) | −47.6121 | + | 242.864i | −0.136035 | + | 0.693898i | ||||
\(351\) | −138.723 | − | 243.286i | −0.395221 | − | 0.693123i | ||||
\(352\) | 33.0064 | + | 8.84405i | 0.0937683 | + | 0.0251251i | ||||
\(353\) | 439.162 | − | 117.673i | 1.24408 | − | 0.333351i | 0.424036 | − | 0.905645i | \(-0.360613\pi\) |
0.820048 | + | 0.572294i | \(0.193946\pi\) | |||||||
\(354\) | 472.805 | − | 82.4948i | 1.33561 | − | 0.233036i | ||||
\(355\) | 341.649 | − | 214.264i | 0.962391 | − | 0.603562i | ||||
\(356\) | 49.8174 | 0.139937 | ||||||||
\(357\) | 482.745 | − | 81.8053i | 1.35223 | − | 0.229146i | ||||
\(358\) | 35.2872 | + | 35.2872i | 0.0985676 | + | 0.0985676i | ||||
\(359\) | −99.2457 | − | 171.899i | −0.276450 | − | 0.478826i | 0.694050 | − | 0.719927i | \(-0.255825\pi\) |
−0.970500 | + | 0.241101i | \(0.922491\pi\) | |||||||
\(360\) | −15.2654 | − | 126.360i | −0.0424039 | − | 0.351001i | ||||
\(361\) | −403.772 | + | 699.353i | −1.11848 | + | 1.93727i | ||||
\(362\) | −265.799 | − | 71.2207i | −0.734252 | − | 0.196742i | ||||
\(363\) | −22.5495 | + | 252.529i | −0.0621199 | + | 0.695672i | ||||
\(364\) | −102.180 | − | 103.182i | −0.280716 | − | 0.283467i | ||||
\(365\) | 6.83224 | − | 7.35077i | 0.0187185 | − | 0.0201391i | ||||
\(366\) | −28.4319 | + | 77.6824i | −0.0776827 | + | 0.212247i | ||||
\(367\) | 454.536 | − | 121.793i | 1.23852 | − | 0.331860i | 0.420628 | − | 0.907233i | \(-0.361810\pi\) |
0.817891 | + | 0.575373i | \(0.195143\pi\) | |||||||
\(368\) | 28.4582 | + | 106.208i | 0.0773321 | + | 0.288607i | ||||
\(369\) | −55.5382 | − | 154.309i | −0.150510 | − | 0.418181i | ||||
\(370\) | 249.639 | − | 9.12678i | 0.674699 | − | 0.0246670i | ||||
\(371\) | −397.992 | + | 394.129i | −1.07275 | + | 1.06234i | ||||
\(372\) | −23.9772 | + | 268.517i | −0.0644549 | + | 0.721821i | ||||
\(373\) | −70.1213 | + | 261.696i | −0.187993 | + | 0.701599i | 0.805977 | + | 0.591947i | \(0.201640\pi\) |
−0.993970 | + | 0.109652i | \(0.965026\pi\) | |||||||
\(374\) | 172.493 | + | 99.5889i | 0.461211 | + | 0.266281i | ||||
\(375\) | 328.548 | + | 180.780i | 0.876128 | + | 0.482079i | ||||
\(376\) | 59.1402 | − | 34.1446i | 0.157288 | − | 0.0908102i | ||||
\(377\) | −50.3633 | + | 50.3633i | −0.133590 | + | 0.133590i | ||||
\(378\) | 2.74053 | − | 267.272i | 0.00725009 | − | 0.707070i | ||||
\(379\) | − | 478.536i | − | 1.26263i | −0.775528 | − | 0.631314i | \(-0.782516\pi\) | ||
0.775528 | − | 0.631314i | \(-0.217484\pi\) | |||||||
\(380\) | −289.600 | + | 181.622i | −0.762104 | + | 0.477952i | ||||
\(381\) | −618.306 | + | 107.882i | −1.62285 | + | 0.283154i | ||||
\(382\) | −48.3630 | − | 180.493i | −0.126605 | − | 0.472495i | ||||
\(383\) | −110.418 | + | 412.087i | −0.288299 | + | 1.07595i | 0.658096 | + | 0.752934i | \(0.271362\pi\) |
−0.946395 | + | 0.323012i | \(0.895305\pi\) | |||||||
\(384\) | 21.7703 | + | 26.0395i | 0.0566935 | + | 0.0678111i | ||||
\(385\) | −179.657 | + | 111.455i | −0.466642 | + | 0.289492i | ||||
\(386\) | 297.239i | 0.770049i | ||||||||
\(387\) | −93.5400 | + | 198.734i | −0.241705 | + | 0.513525i | ||||
\(388\) | 28.1440 | + | 105.035i | 0.0725361 | + | 0.270708i | ||||
\(389\) | 116.515 | − | 201.810i | 0.299524 | − | 0.518791i | −0.676503 | − | 0.736440i | \(-0.736505\pi\) |
0.976027 | + | 0.217649i | \(0.0698387\pi\) | |||||||
\(390\) | −196.067 | + | 99.8629i | −0.502736 | + | 0.256059i | ||||
\(391\) | 640.911i | 1.63916i | ||||||||
\(392\) | −34.5631 | − | 134.214i | −0.0881711 | − | 0.342383i | ||||
\(393\) | −39.9357 | + | 447.234i | −0.101618 | + | 1.13800i | ||||
\(394\) | −163.700 | + | 94.5121i | −0.415482 | + | 0.239878i | ||||
\(395\) | 373.395 | + | 197.754i | 0.945303 | + | 0.500643i | ||||
\(396\) | 70.1889 | − | 83.0415i | 0.177245 | − | 0.209701i | ||||
\(397\) | 14.1665 | − | 52.8700i | 0.0356838 | − | 0.133174i | −0.945786 | − | 0.324790i | \(-0.894706\pi\) |
0.981470 | + | 0.191616i | \(0.0613730\pi\) | |||||||
\(398\) | 365.549 | + | 365.549i | 0.918465 | + | 0.918465i | ||||
\(399\) | −652.614 | + | 299.037i | −1.63562 | + | 0.749465i | ||||
\(400\) | −99.7330 | + | 7.30223i | −0.249333 | + | 0.0182556i | ||||
\(401\) | 396.262 | − | 228.782i | 0.988184 | − | 0.570528i | 0.0834527 | − | 0.996512i | \(-0.473405\pi\) |
0.904731 | + | 0.425984i | \(0.140072\pi\) | |||||||
\(402\) | 39.2752 | + | 27.6058i | 0.0976995 | + | 0.0686712i | ||||
\(403\) | 450.166 | − | 120.622i | 1.11704 | − | 0.299309i | ||||
\(404\) | −40.6349 | + | 23.4606i | −0.100582 | + | 0.0580708i | ||||
\(405\) | −384.480 | − | 127.281i | −0.949333 | − | 0.314273i | ||||
\(406\) | −65.7453 | + | 17.2732i | −0.161934 | + | 0.0425449i | ||||
\(407\) | 150.897 | + | 150.897i | 0.370755 | + | 0.370755i | ||||
\(408\) | 83.2890 | + | 179.453i | 0.204140 | + | 0.439835i | ||||
\(409\) | 166.436 | − | 288.276i | 0.406935 | − | 0.704832i | −0.587609 | − | 0.809145i | \(-0.699931\pi\) |
0.994545 | + | 0.104312i | \(0.0332642\pi\) | |||||||
\(410\) | −123.158 | + | 37.8737i | −0.300385 | + | 0.0923749i | ||||
\(411\) | 71.2022 | + | 26.0601i | 0.173241 | + | 0.0634066i | ||||
\(412\) | 265.928 | + | 265.928i | 0.645457 | + | 0.645457i | ||||
\(413\) | 3.86181 | − | 791.864i | 0.00935064 | − | 1.91735i | ||||
\(414\) | 344.337 | + | 61.9892i | 0.831731 | + | 0.149732i | ||||
\(415\) | −7.20367 | + | 31.4373i | −0.0173583 | + | 0.0757524i | ||||
\(416\) | 29.3379 | − | 50.8146i | 0.0705237 | − | 0.122151i | ||||
\(417\) | −582.758 | − | 409.610i | −1.39750 | − | 0.982278i | ||||
\(418\) | −282.073 | − | 75.5812i | −0.674815 | − | 0.180816i | ||||
\(419\) | − | 377.243i | − | 0.900341i | −0.892943 | − | 0.450171i | \(-0.851363\pi\) | ||
0.892943 | − | 0.450171i | \(-0.148637\pi\) | |||||||
\(420\) | −209.654 | − | 12.0457i | −0.499177 | − | 0.0286801i | ||||
\(421\) | 197.759 | 0.469736 | 0.234868 | − | 0.972027i | \(-0.424534\pi\) | ||||
0.234868 | + | 0.972027i | \(0.424534\pi\) | |||||||
\(422\) | 18.0970 | − | 67.5389i | 0.0428839 | − | 0.160045i | ||||
\(423\) | −18.1625 | − | 216.535i | −0.0429374 | − | 0.511902i | ||||
\(424\) | −196.001 | − | 113.161i | −0.462267 | − | 0.266890i | ||||
\(425\) | −572.541 | − | 109.347i | −1.34716 | − | 0.257286i | ||||
\(426\) | 219.487 | + | 262.529i | 0.515228 | + | 0.616265i | ||||
\(427\) | 117.865 | + | 68.8178i | 0.276030 | + | 0.161166i | ||||
\(428\) | 117.573 | − | 117.573i | 0.274704 | − | 0.274704i | ||||
\(429\) | −176.517 | − | 64.6054i | −0.411461 | − | 0.150595i | ||||
\(430\) | 152.504 | + | 80.7678i | 0.354660 | + | 0.187832i | ||||
\(431\) | 142.518 | + | 82.2828i | 0.330668 | + | 0.190911i | 0.656138 | − | 0.754641i | \(-0.272189\pi\) |
−0.325469 | + | 0.945553i | \(0.605522\pi\) | |||||||
\(432\) | 104.469 | − | 27.3912i | 0.241826 | − | 0.0634055i | ||||
\(433\) | 346.623 | − | 346.623i | 0.800515 | − | 0.800515i | −0.182661 | − | 0.983176i | \(-0.558471\pi\) |
0.983176 | + | 0.182661i | \(0.0584710\pi\) | |||||||
\(434\) | 429.071 | + | 117.215i | 0.988644 | + | 0.270081i | ||||
\(435\) | −5.40656 | + | 102.858i | −0.0124289 | + | 0.236455i | ||||
\(436\) | 33.4856 | + | 57.9988i | 0.0768019 | + | 0.133025i | ||||
\(437\) | −243.204 | − | 907.649i | −0.556530 | − | 2.07700i | ||||
\(438\) | 6.96672 | + | 4.89678i | 0.0159057 | + | 0.0111799i | ||||
\(439\) | 269.647 | + | 467.043i | 0.614230 | + | 1.06388i | 0.990519 | + | 0.137376i | \(0.0438668\pi\) |
−0.376289 | + | 0.926502i | \(0.622800\pi\) | |||||||
\(440\) | −62.5726 | − | 58.1587i | −0.142210 | − | 0.132179i | ||||
\(441\) | −433.240 | − | 82.3646i | −0.982404 | − | 0.186768i | ||||
\(442\) | 241.841 | − | 241.841i | 0.547151 | − | 0.547151i | ||||
\(443\) | −341.272 | − | 91.4437i | −0.770367 | − | 0.206419i | −0.147833 | − | 0.989012i | \(-0.547230\pi\) |
−0.622533 | + | 0.782593i | \(0.713897\pi\) | |||||||
\(444\) | 36.4335 | + | 208.812i | 0.0820575 | + | 0.470298i | ||||
\(445\) | −110.061 | − | 58.2896i | −0.247328 | − | 0.130988i | ||||
\(446\) | −147.669 | − | 255.771i | −0.331097 | − | 0.573478i | ||||
\(447\) | 10.4897 | − | 117.472i | 0.0234668 | − | 0.262801i | ||||
\(448\) | 48.6334 | − | 27.7632i | 0.108557 | − | 0.0619713i | ||||
\(449\) | 436.761 | 0.972742 | 0.486371 | − | 0.873752i | \(-0.338320\pi\) | ||||
0.486371 | + | 0.873752i | \(0.338320\pi\) | |||||||
\(450\) | −114.124 | + | 297.028i | −0.253609 | + | 0.660062i | ||||
\(451\) | −95.3255 | − | 55.0362i | −0.211365 | − | 0.122032i | ||||
\(452\) | −34.4574 | + | 9.23284i | −0.0762333 | + | 0.0204266i | ||||
\(453\) | 103.732 | − | 48.1450i | 0.228989 | − | 0.106280i | ||||
\(454\) | −311.167 | −0.685389 | ||||||||
\(455\) | 105.017 | + | 347.516i | 0.230806 | + | 0.763772i | ||||
\(456\) | −186.049 | − | 222.533i | −0.408002 | − | 0.488011i | ||||
\(457\) | 30.3524 | + | 8.13289i | 0.0664166 | + | 0.0177963i | 0.291874 | − | 0.956457i | \(-0.405721\pi\) |
−0.225458 | + | 0.974253i | \(0.572388\pi\) | |||||||
\(458\) | −408.781 | + | 109.532i | −0.892534 | + | 0.239154i | ||||
\(459\) | 629.511 | + | 3.38462i | 1.37148 | + | 0.00737389i | ||||
\(460\) | 61.3972 | − | 267.941i | 0.133472 | − | 0.582480i | ||||
\(461\) | 154.115 | 0.334305 | 0.167152 | − | 0.985931i | \(-0.446543\pi\) | ||||
0.167152 | + | 0.985931i | \(0.446543\pi\) | |||||||
\(462\) | −114.395 | − | 138.192i | −0.247608 | − | 0.299116i | ||||
\(463\) | −200.474 | − | 200.474i | −0.432989 | − | 0.432989i | 0.456655 | − | 0.889644i | \(-0.349047\pi\) |
−0.889644 | + | 0.456655i | \(0.849047\pi\) | |||||||
\(464\) | −13.7333 | − | 23.7868i | −0.0295977 | − | 0.0512648i | ||||
\(465\) | 367.155 | − | 565.177i | 0.789581 | − | 1.21543i | ||||
\(466\) | 84.8372 | − | 146.942i | 0.182054 | − | 0.315327i | ||||
\(467\) | −93.6060 | − | 25.0817i | −0.200441 | − | 0.0537081i | 0.157202 | − | 0.987567i | \(-0.449753\pi\) |
−0.357643 | + | 0.933858i | \(0.616419\pi\) | |||||||
\(468\) | −106.541 | − | 153.323i | −0.227651 | − | 0.327612i | ||||
\(469\) | 56.2800 | − | 55.7338i | 0.120000 | − | 0.118835i | ||||
\(470\) | −170.609 | + | 6.23747i | −0.362998 | + | 0.0132712i | ||||
\(471\) | −168.961 | − | 61.8400i | −0.358729 | − | 0.131295i | ||||
\(472\) | 309.063 | − | 82.8131i | 0.654794 | − | 0.175451i | ||||
\(473\) | 38.1557 | + | 142.399i | 0.0806675 | + | 0.301055i | ||||
\(474\) | −123.227 | + | 336.685i | −0.259973 | + | 0.710306i | ||||
\(475\) | 852.318 | − | 62.4048i | 1.79435 | − | 0.131379i | ||||
\(476\) | 315.704 | − | 82.9446i | 0.663243 | − | 0.174253i | ||||
\(477\) | −591.393 | + | 410.947i | −1.23982 | + | 0.861523i | ||||
\(478\) | −144.803 | + | 540.412i | −0.302935 | + | 1.13057i | ||||
\(479\) | −92.7005 | − | 53.5207i | −0.193529 | − | 0.111734i | 0.400104 | − | 0.916470i | \(-0.368974\pi\) |
−0.593634 | + | 0.804735i | \(0.702307\pi\) | |||||||
\(480\) | −17.6290 | − | 83.0013i | −0.0367271 | − | 0.172919i | ||||
\(481\) | 317.344 | − | 183.219i | 0.659760 | − | 0.380912i | ||||
\(482\) | −221.217 | + | 221.217i | −0.458956 | + | 0.458956i | ||||
\(483\) | 201.047 | − | 541.117i | 0.416247 | − | 1.12033i | ||||
\(484\) | 169.022i | 0.349220i | ||||||||
\(485\) | 60.7193 | − | 264.982i | 0.125194 | − | 0.546356i | ||||
\(486\) | 62.7051 | − | 337.885i | 0.129023 | − | 0.695236i | ||||
\(487\) | −122.238 | − | 456.200i | −0.251003 | − | 0.936756i | −0.970271 | − | 0.242023i | \(-0.922189\pi\) |
0.719268 | − | 0.694733i | \(-0.244478\pi\) | |||||||
\(488\) | −14.2734 | + | 53.2689i | −0.0292487 | + | 0.109158i | ||||
\(489\) | 13.4560 | − | 11.2499i | 0.0275173 | − | 0.0230059i | ||||
\(490\) | −80.6791 | + | 336.958i | −0.164651 | + | 0.687670i | ||||
\(491\) | 228.035i | 0.464431i | 0.972664 | + | 0.232215i | \(0.0745974\pi\) | ||||
−0.972664 | + | 0.232215i | \(0.925403\pi\) | |||||||
\(492\) | −46.0283 | − | 99.1717i | −0.0935535 | − | 0.201569i | ||||
\(493\) | −41.4370 | − | 154.645i | −0.0840508 | − | 0.313682i | ||||
\(494\) | −250.721 | + | 434.262i | −0.507532 | + | 0.879072i | ||||
\(495\) | −252.231 | + | 101.337i | −0.509558 | + | 0.204722i | ||||
\(496\) | 179.724i | 0.362346i | ||||||||
\(497\) | 490.320 | − | 279.907i | 0.986559 | − | 0.563193i | ||||
\(498\) | −27.2583 | − | 2.43403i | −0.0547356 | − | 0.00488760i | ||||
\(499\) | −706.586 | + | 407.948i | −1.41600 | + | 0.817530i | −0.995945 | − | 0.0899668i | \(-0.971324\pi\) |
−0.420059 | + | 0.907497i | \(0.637991\pi\) | |||||||
\(500\) | 228.883 | + | 100.561i | 0.457766 | + | 0.201123i | ||||
\(501\) | −25.6550 | + | 4.47627i | −0.0512075 | + | 0.00893467i | ||||
\(502\) | −84.8425 | + | 316.636i | −0.169009 | + | 0.630750i | ||||
\(503\) | −493.203 | − | 493.203i | −0.980522 | − | 0.980522i | 0.0192915 | − | 0.999814i | \(-0.493859\pi\) |
−0.999814 | + | 0.0192915i | \(0.993859\pi\) | |||||||
\(504\) | −14.0279 | − | 177.638i | −0.0278330 | − | 0.352456i | ||||
\(505\) | 117.225 | − | 4.28573i | 0.232128 | − | 0.00848659i | ||||
\(506\) | 203.365 | − | 117.413i | 0.401908 | − | 0.232042i | ||||
\(507\) | 105.943 | − | 150.726i | 0.208960 | − | 0.297290i | ||||
\(508\) | −404.174 | + | 108.298i | −0.795617 | + | 0.213185i | ||||
\(509\) | −715.344 | + | 413.004i | −1.40539 | + | 0.811403i | −0.994939 | − | 0.100479i | \(-0.967962\pi\) |
−0.410452 | + | 0.911882i | \(0.634629\pi\) | |||||||
\(510\) | 25.9619 | − | 493.916i | 0.0509056 | − | 0.968463i | ||||
\(511\) | 9.98307 | − | 9.88617i | 0.0195363 | − | 0.0193467i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −892.789 | + | 234.085i | −1.74033 | + | 0.456306i | ||||
\(514\) | 22.8091 | − | 39.5066i | 0.0443757 | − | 0.0768610i | ||||
\(515\) | −276.359 | − | 898.665i | −0.536619 | − | 1.74498i | ||||
\(516\) | −50.3291 | + | 137.511i | −0.0975370 | + | 0.266494i | ||||
\(517\) | −103.127 | − | 103.127i | −0.199472 | − | 0.199472i | ||||
\(518\) | 349.724 | + | 1.70555i | 0.675142 | + | 0.00329258i | ||||
\(519\) | −463.626 | + | 387.614i | −0.893306 | + | 0.746848i | ||||
\(520\) | −124.272 | + | 77.9370i | −0.238985 | + | 0.149879i | ||||
\(521\) | 70.0727 | − | 121.369i | 0.134497 | − | 0.232955i | −0.790908 | − | 0.611934i | \(-0.790392\pi\) |
0.925405 | + | 0.378980i | \(0.123725\pi\) | |||||||
\(522\) | −87.0926 | + | 7.30515i | −0.166844 | + | 0.0139945i | ||||
\(523\) | −165.558 | − | 44.3611i | −0.316554 | − | 0.0848204i | 0.0970437 | − | 0.995280i | \(-0.469061\pi\) |
−0.413598 | + | 0.910460i | \(0.635728\pi\) | |||||||
\(524\) | 299.343i | 0.571264i | ||||||||
\(525\) | 449.092 | + | 271.921i | 0.855414 | + | 0.517945i | ||||
\(526\) | 236.343 | 0.449322 | ||||||||
\(527\) | −271.137 | + | 1011.90i | −0.514491 | + | 1.92011i | ||||
\(528\) | 41.6833 | − | 59.3034i | 0.0789456 | − | 0.112317i | ||||
\(529\) | 196.258 | + | 113.310i | 0.370999 | + | 0.214196i | ||||
\(530\) | 300.617 | + | 479.340i | 0.567202 | + | 0.904415i | ||||
\(531\) | 180.388 | − | 1002.02i | 0.339714 | − | 1.88703i | ||||
\(532\) | −415.621 | + | 237.264i | −0.781242 | + | 0.445984i | ||||
\(533\) | −133.649 | + | 133.649i | −0.250749 | + | 0.250749i | ||||
\(534\) | 36.3222 | − | 99.2406i | 0.0680190 | − | 0.185844i | ||||
\(535\) | −397.322 | + | 122.185i | −0.742657 | + | 0.228383i | ||||
\(536\) | 27.7166 | + | 16.0022i | 0.0517100 | + | 0.0298548i | ||||
\(537\) | 96.0233 | − | 44.5670i | 0.178814 | − | 0.0829926i | ||||
\(538\) | 348.907 | − | 348.907i | 0.648526 | − | 0.648526i | ||||
\(539\) | −257.765 | + | 145.487i | −0.478229 | + | 0.269921i | ||||
\(540\) | −262.851 | − | 61.7201i | −0.486761 | − | 0.114297i | ||||
\(541\) | 271.403 | + | 470.083i | 0.501669 | + | 0.868916i | 0.999998 | + | 0.00192801i | \(0.000613704\pi\) |
−0.498329 | + | 0.866988i | \(0.666053\pi\) | |||||||
\(542\) | −7.21668 | − | 26.9330i | −0.0133149 | − | 0.0496919i | ||||
\(543\) | −335.673 | + | 477.567i | −0.618183 | + | 0.879498i | ||||
\(544\) | 65.9464 | + | 114.223i | 0.121225 | + | 0.209968i | ||||
\(545\) | −6.11708 | − | 167.316i | −0.0112240 | − | 0.307002i | ||||
\(546\) | −280.048 | + | 128.322i | −0.512908 | + | 0.235021i | ||||
\(547\) | −764.656 | + | 764.656i | −1.39791 | + | 1.39791i | −0.591892 | + | 0.806017i | \(0.701619\pi\) |
−0.806017 | + | 0.591892i | \(0.798381\pi\) | |||||||
\(548\) | 48.8252 | + | 13.0827i | 0.0890971 | + | 0.0238735i | ||||
\(549\) | 134.020 | + | 113.277i | 0.244117 | + | 0.206334i | ||||
\(550\) | 70.1915 | + | 201.703i | 0.127621 | + | 0.366733i | ||||
\(551\) | 117.365 | + | 203.282i | 0.213004 | + | 0.368933i | ||||
\(552\) | 232.324 | + | 20.7453i | 0.420876 | + | 0.0375821i | ||||
\(553\) | 510.840 | + | 298.265i | 0.923761 | + | 0.539358i | ||||
\(554\) | −316.909 | −0.572037 | ||||||||
\(555\) | 163.832 | − | 503.956i | 0.295192 | − | 0.908029i | ||||
\(556\) | −411.253 | − | 237.437i | −0.739664 | − | 0.427045i | ||||
\(557\) | 2.78102 | − | 0.745171i | 0.00499285 | − | 0.00133783i | −0.256322 | − | 0.966592i | \(-0.582511\pi\) |
0.261315 | + | 0.965254i | \(0.415844\pi\) | |||||||
\(558\) | 517.428 | + | 243.542i | 0.927290 | + | 0.436456i | ||||
\(559\) | 253.144 | 0.452851 | ||||||||
\(560\) | −139.930 | + | 4.43262i | −0.249875 | + | 0.00791539i | ||||
\(561\) | 324.155 | − | 271.010i | 0.577817 | − | 0.483084i | ||||
\(562\) | −310.069 | − | 83.0827i | −0.551724 | − | 0.147834i | ||||
\(563\) | 216.776 | − | 58.0850i | 0.385038 | − | 0.103171i | −0.0611074 | − | 0.998131i | \(-0.519463\pi\) |
0.446145 | + | 0.894961i | \(0.352797\pi\) | |||||||
\(564\) | −24.8996 | − | 142.707i | −0.0441481 | − | 0.253027i | ||||
\(565\) | 86.9294 | + | 19.9194i | 0.153857 | + | 0.0352556i | ||||
\(566\) | −135.575 | −0.239533 | ||||||||
\(567\) | −530.431 | − | 200.329i | −0.935505 | − | 0.353314i | ||||
\(568\) | 161.311 | + | 161.311i | 0.283999 | + | 0.283999i | ||||
\(569\) | −395.156 | − | 684.429i | −0.694474 | − | 1.20286i | −0.970358 | − | 0.241673i | \(-0.922304\pi\) |
0.275884 | − | 0.961191i | \(-0.411029\pi\) | |||||||
\(570\) | 150.657 | + | 709.329i | 0.264311 | + | 1.24444i | ||||
\(571\) | −124.910 | + | 216.351i | −0.218757 | + | 0.378899i | −0.954428 | − | 0.298440i | \(-0.903534\pi\) |
0.735671 | + | 0.677339i | \(0.236867\pi\) | |||||||
\(572\) | −121.042 | − | 32.4332i | −0.211612 | − | 0.0567013i | ||||
\(573\) | −394.820 | − | 35.2553i | −0.689039 | − | 0.0615277i | ||||
\(574\) | −174.469 | + | 45.8380i | −0.303953 | + | 0.0798571i | ||||
\(575\) | −449.152 | + | 520.120i | −0.781134 | + | 0.904556i | ||||
\(576\) | 67.7457 | − | 24.3828i | 0.117614 | − | 0.0423312i | ||||
\(577\) | 82.7885 | − | 22.1831i | 0.143481 | − | 0.0384456i | −0.186364 | − | 0.982481i | \(-0.559670\pi\) |
0.329845 | + | 0.944035i | \(0.393004\pi\) | |||||||
\(578\) | 93.1959 | + | 347.812i | 0.161239 | + | 0.601751i | ||||
\(579\) | 592.125 | + | 216.719i | 1.02267 | + | 0.374298i | ||||
\(580\) | 2.50878 | + | 68.6209i | 0.00432548 | + | 0.118312i | ||||
\(581\) | −11.8990 | + | 43.5568i | −0.0204802 | + | 0.0749687i | ||||
\(582\) | 229.758 | + | 20.5162i | 0.394774 | + | 0.0352513i | ||||
\(583\) | −125.101 | + | 466.882i | −0.214581 | + | 0.800826i | ||||
\(584\) | 4.91642 | + | 2.83850i | 0.00841853 | + | 0.00486044i | ||||
\(585\) | 55.9818 | + | 463.393i | 0.0956954 | + | 0.792125i | ||||
\(586\) | 330.490 | − | 190.809i | 0.563977 | − | 0.325612i | ||||
\(587\) | 198.002 | − | 198.002i | 0.337312 | − | 0.337312i | −0.518043 | − | 0.855355i | \(-0.673339\pi\) |
0.855355 | + | 0.518043i | \(0.173339\pi\) | |||||||
\(588\) | −292.566 | − | 29.0036i | −0.497561 | − | 0.0493258i | ||||
\(589\) | − | 1535.92i | − | 2.60767i | ||||||
\(590\) | −779.705 | − | 178.665i | −1.32153 | − | 0.302822i | ||||
\(591\) | 68.9218 | + | 395.013i | 0.116619 | + | 0.668381i | ||||
\(592\) | 36.5741 | + | 136.496i | 0.0617805 | + | 0.230568i | ||||
\(593\) | −256.540 | + | 957.421i | −0.432614 | + | 1.61454i | 0.314097 | + | 0.949391i | \(0.398298\pi\) |
−0.746712 | + | 0.665148i | \(0.768369\pi\) | |||||||
\(594\) | −114.251 | − | 200.368i | −0.192341 | − | 0.337320i | ||||
\(595\) | −794.531 | − | 186.145i | −1.33535 | − | 0.312849i | ||||
\(596\) | − | 78.6264i | − | 0.131924i | ||||||
\(597\) | 994.729 | − | 461.681i | 1.66621 | − | 0.773335i | ||||
\(598\) | −104.363 | − | 389.488i | −0.174520 | − | 0.651317i | ||||
\(599\) | −58.5042 | + | 101.332i | −0.0976698 | + | 0.169169i | −0.910720 | − | 0.413025i | \(-0.864472\pi\) |
0.813050 | + | 0.582194i | \(0.197806\pi\) | |||||||
\(600\) | −58.1692 | + | 204.001i | −0.0969487 | + | 0.340001i | ||||
\(601\) | 258.350i | 0.429867i | 0.976629 | + | 0.214933i | \(0.0689534\pi\) | ||||
−0.976629 | + | 0.214933i | \(0.931047\pi\) | |||||||
\(602\) | 208.640 | + | 121.819i | 0.346578 | + | 0.202357i | ||||
\(603\) | 83.6289 | − | 58.1120i | 0.138688 | − | 0.0963715i | ||||
\(604\) | 66.0260 | − | 38.1201i | 0.109315 | − | 0.0631128i | ||||
\(605\) | 197.767 | − | 373.419i | 0.326888 | − | 0.617222i | ||||
\(606\) | 17.1083 | + | 98.0535i | 0.0282316 | + | 0.161804i | ||||
\(607\) | −246.615 | + | 920.381i | −0.406285 | + | 1.51628i | 0.395387 | + | 0.918514i | \(0.370610\pi\) |
−0.801673 | + | 0.597763i | \(0.796056\pi\) | |||||||
\(608\) | −136.736 | − | 136.736i | −0.224895 | − | 0.224895i | ||||
\(609\) | −13.5256 | + | 143.564i | −0.0222095 | + | 0.235738i | ||||
\(610\) | 93.8619 | − | 100.986i | 0.153872 | − | 0.165550i | ||||
\(611\) | −216.881 | + | 125.216i | −0.354961 | + | 0.204937i | ||||
\(612\) | 418.212 | − | 35.0788i | 0.683353 | − | 0.0573182i | ||||
\(613\) | −226.001 | + | 60.5569i | −0.368681 | + | 0.0987878i | −0.438403 | − | 0.898779i | \(-0.644456\pi\) |
0.0697216 | + | 0.997566i | \(0.477789\pi\) | |||||||
\(614\) | 59.1587 | − | 34.1553i | 0.0963497 | − | 0.0556275i | ||||
\(615\) | −14.3474 | + | 272.955i | −0.0233291 | + | 0.443829i | ||||
\(616\) | −84.1549 | − | 84.9798i | −0.136615 | − | 0.137954i | ||||
\(617\) | 722.963 | + | 722.963i | 1.17174 | + | 1.17174i | 0.981795 | + | 0.189945i | \(0.0608308\pi\) |
0.189945 | + | 0.981795i | \(0.439169\pi\) | |||||||
\(618\) | 723.642 | − | 335.862i | 1.17094 | − | 0.543466i | ||||
\(619\) | −164.472 | + | 284.874i | −0.265706 | + | 0.460217i | −0.967748 | − | 0.251919i | \(-0.918938\pi\) |
0.702042 | + | 0.712135i | \(0.252272\pi\) | |||||||
\(620\) | 210.288 | − | 397.062i | 0.339175 | − | 0.640422i | ||||
\(621\) | 374.546 | − | 640.751i | 0.603133 | − | 1.03181i | ||||
\(622\) | 544.337 | + | 544.337i | 0.875139 | + | 0.875139i | ||||
\(623\) | −150.574 | − | 87.9159i | −0.241692 | − | 0.141117i | ||||
\(624\) | −79.8367 | − | 95.4928i | −0.127943 | − | 0.153033i | ||||
\(625\) | −388.005 | − | 489.976i | −0.620808 | − | 0.783962i | ||||
\(626\) | 325.083 | − | 563.060i | 0.519302 | − | 0.899457i | ||||
\(627\) | −356.225 | + | 506.806i | −0.568142 | + | 0.808304i | ||||
\(628\) | −115.861 | − | 31.0449i | −0.184492 | − | 0.0494346i | ||||
\(629\) | 823.689i | 1.30952i | ||||||||
\(630\) | −176.856 | + | 408.867i | −0.280724 | + | 0.648995i | ||||
\(631\) | −184.344 | −0.292145 | −0.146073 | − | 0.989274i | \(-0.546663\pi\) | ||||
−0.146073 | + | 0.989274i | \(0.546663\pi\) | |||||||
\(632\) | −61.8625 | + | 230.874i | −0.0978836 | + | 0.365307i | ||||
\(633\) | −121.349 | − | 85.2938i | −0.191704 | − | 0.134745i | ||||
\(634\) | 22.7822 | + | 13.1533i | 0.0359341 | + | 0.0207465i | ||||
\(635\) | 1019.65 | + | 233.647i | 1.60575 | + | 0.367949i | ||||
\(636\) | −368.333 | + | 307.945i | −0.579139 | + | 0.484190i | ||||
\(637\) | 126.751 | + | 492.194i | 0.198981 | + | 0.772675i | ||||
\(638\) | −41.4788 | + | 41.4788i | −0.0650138 | + | 0.0650138i | ||||
\(639\) | 683.009 | − | 245.826i | 1.06887 | − | 0.384704i | ||||
\(640\) | −16.6276 | − | 54.0696i | −0.0259806 | − | 0.0844838i | ||||
\(641\) | −706.892 | − | 408.124i | −1.10280 | − | 0.636699i | −0.165841 | − | 0.986152i | \(-0.553034\pi\) |
−0.936954 | + | 0.349453i | \(0.886367\pi\) | |||||||
\(642\) | −148.493 | − | 319.940i | −0.231297 | − | 0.498348i | ||||
\(643\) | −18.6427 | + | 18.6427i | −0.0289933 | + | 0.0289933i | −0.721455 | − | 0.692462i | \(-0.756526\pi\) |
0.692462 | + | 0.721455i | \(0.256526\pi\) | |||||||
\(644\) | 101.415 | − | 371.236i | 0.157477 | − | 0.576454i | ||||
\(645\) | 272.088 | − | 244.913i | 0.421842 | − | 0.379709i | ||||
\(646\) | −563.577 | − | 976.145i | −0.872411 | − | 1.51106i | ||||
\(647\) | −250.884 | − | 936.314i | −0.387766 | − | 1.44716i | −0.833761 | − | 0.552126i | \(-0.813817\pi\) |
0.445995 | − | 0.895036i | \(-0.352850\pi\) | |||||||
\(648\) | 21.6032 | − | 228.082i | 0.0333383 | − | 0.351978i | ||||
\(649\) | −341.671 | − | 591.791i | −0.526457 | − | 0.911850i | ||||
\(650\) | 365.744 | − | 26.7790i | 0.562683 | − | 0.0411984i | ||||
\(651\) | 546.341 | − | 769.285i | 0.839233 | − | 1.18170i | ||||
\(652\) | 8.26804 | − | 8.26804i | 0.0126810 | − | 0.0126810i | ||||
\(653\) | −58.3491 | − | 15.6346i | −0.0893554 | − | 0.0239427i | 0.213864 | − | 0.976863i | \(-0.431395\pi\) |
−0.303220 | + | 0.952921i | \(0.598062\pi\) | |||||||
\(654\) | 139.953 | − | 24.4190i | 0.213996 | − | 0.0373379i | ||||
\(655\) | 350.250 | − | 661.334i | 0.534733 | − | 1.00967i | ||||
\(656\) | −36.4442 | − | 63.1233i | −0.0555552 | − | 0.0962245i | ||||
\(657\) | 14.8343 | − | 10.3080i | 0.0225788 | − | 0.0156895i | ||||
\(658\) | −239.010 | − | 1.16562i | −0.363236 | − | 0.00177145i | ||||
\(659\) | 397.461 | 0.603127 | 0.301564 | − | 0.953446i | \(-0.402491\pi\) | ||||
0.301564 | + | 0.953446i | \(0.402491\pi\) | |||||||
\(660\) | −161.479 | + | 82.2462i | −0.244665 | + | 0.124615i | ||||
\(661\) | 417.970 | + | 241.315i | 0.632330 | + | 0.365076i | 0.781654 | − | 0.623712i | \(-0.214376\pi\) |
−0.149324 | + | 0.988788i | \(0.547710\pi\) | |||||||
\(662\) | −224.320 | + | 60.1065i | −0.338853 | + | 0.0907953i | ||||
\(663\) | −305.440 | − | 658.095i | −0.460694 | − | 0.992602i | ||||
\(664\) | −18.2445 | −0.0274767 | ||||||||
\(665\) | 1195.84 | − | 37.8811i | 1.79825 | − | 0.0569641i | ||||
\(666\) | 442.536 | + | 79.6676i | 0.664468 | + | 0.119621i | ||||
\(667\) | −182.323 | − | 48.8533i | −0.273348 | − | 0.0732434i | ||||
\(668\) | −16.7701 | + | 4.49354i | −0.0251050 | + | 0.00672685i | ||||
\(669\) | −617.184 | + | 107.686i | −0.922548 | + | 0.160966i | ||||
\(670\) | −42.5103 | − | 67.7835i | −0.0634482 | − | 0.101169i | ||||
\(671\) | 117.778 | 0.175526 | ||||||||
\(672\) | −19.8477 | − | 117.124i | −0.0295353 | − | 0.174292i | ||||
\(673\) | 594.528 | + | 594.528i | 0.883400 | + | 0.883400i | 0.993879 | − | 0.110479i | \(-0.0352384\pi\) |
−0.110479 | + | 0.993879i | \(0.535238\pi\) | |||||||
\(674\) | −182.945 | − | 316.871i | −0.271432 | − | 0.470135i | ||||
\(675\) | 508.497 | + | 443.910i | 0.753329 | + | 0.657644i | ||||
\(676\) | 61.4113 | − | 106.368i | 0.0908451 | − | 0.157348i | ||||
\(677\) | 107.544 | + | 28.8163i | 0.158854 | + | 0.0425647i | 0.337369 | − | 0.941372i | \(-0.390463\pi\) |
−0.178516 | + | 0.983937i | \(0.557130\pi\) | |||||||
\(678\) | −6.73050 | + | 75.3739i | −0.00992699 | + | 0.111171i | ||||
\(679\) | 100.296 | − | 367.137i | 0.147711 | − | 0.540703i | ||||
\(680\) | −12.0469 | − | 329.512i | −0.0177161 | − | 0.484576i | ||||
\(681\) | −226.873 | + | 619.871i | −0.333147 | + | 0.910236i | ||||
\(682\) | 370.753 | − | 99.3429i | 0.543626 | − | 0.145664i | ||||
\(683\) | −101.877 | − | 380.211i | −0.149161 | − | 0.556678i | −0.999535 | − | 0.0304984i | \(-0.990291\pi\) |
0.850373 | − | 0.526180i | \(-0.176376\pi\) | |||||||
\(684\) | −578.954 | + | 208.375i | −0.846424 | + | 0.304642i | ||||
\(685\) | −92.5614 | − | 86.0320i | −0.135126 | − | 0.125594i | ||||
\(686\) | −132.388 | + | 466.660i | −0.192986 | + | 0.680262i | ||||
\(687\) | −79.8463 | + | 894.187i | −0.116225 | + | 1.30158i | ||||
\(688\) | −25.2662 | + | 94.2947i | −0.0367241 | + | 0.137056i | ||||
\(689\) | 718.782 | + | 414.989i | 1.04322 | + | 0.602306i | ||||
\(690\) | −488.996 | − | 317.666i | −0.708690 | − | 0.460385i | ||||
\(691\) | 675.459 | − | 389.977i | 0.977510 | − | 0.564366i | 0.0759924 | − | 0.997108i | \(-0.475788\pi\) |
0.901517 | + | 0.432743i | \(0.142454\pi\) | |||||||
\(692\) | −284.876 | + | 284.876i | −0.411670 | + | 0.411670i | ||||
\(693\) | −358.696 | + | 127.128i | −0.517598 | + | 0.183446i | ||||
\(694\) | − | 108.045i | − | 0.155684i | ||||||
\(695\) | 630.760 | + | 1005.76i | 0.907568 | + | 1.44714i | ||||
\(696\) | −57.3985 | + | 10.0149i | −0.0824691 | + | 0.0143892i | ||||
\(697\) | −109.962 | − | 410.382i | −0.157764 | − | 0.588784i | ||||
\(698\) | 220.135 | − | 821.556i | 0.315380 | − | 1.17701i | ||||
\(699\) | −230.866 | − | 276.139i | −0.330281 | − | 0.395049i | ||||
\(700\) | 314.332 | + | 153.934i | 0.449045 | + | 0.219906i | ||||
\(701\) | − | 1193.31i | − | 1.70229i | −0.524928 | − | 0.851147i | \(-0.675908\pi\) | ||
0.524928 | − | 0.851147i | \(-0.324092\pi\) | |||||||
\(702\) | −383.111 | + | 100.450i | −0.545742 | + | 0.143091i | ||||
\(703\) | −312.562 | − | 1166.50i | −0.444611 | − | 1.65931i | ||||
\(704\) | 24.1624 | − | 41.8505i | 0.0343216 | − | 0.0594467i | ||||
\(705\) | −111.967 | + | 344.416i | −0.158818 | + | 0.488533i | ||||
\(706\) | − | 642.977i | − | 0.910733i | ||||||
\(707\) | 164.222 | + | 0.800889i | 0.232280 | + | 0.00113280i | ||||
\(708\) | 60.3685 | − | 676.059i | 0.0852663 | − | 0.954885i | ||||
\(709\) | 787.987 | − | 454.944i | 1.11141 | − | 0.641671i | 0.172213 | − | 0.985060i | \(-0.444908\pi\) |
0.939193 | + | 0.343389i | \(0.111575\pi\) | |||||||
\(710\) | −167.638 | − | 545.127i | −0.236111 | − | 0.767785i | ||||
\(711\) | 580.860 | + | 490.958i | 0.816962 | + | 0.690518i | ||||
\(712\) | 18.2344 | − | 68.0519i | 0.0256102 | − | 0.0955785i | ||||
\(713\) | 873.338 | + | 873.338i | 1.22488 | + | 1.22488i | ||||
\(714\) | 64.9488 | − | 689.384i | 0.0909647 | − | 0.965525i | ||||
\(715\) | 229.468 | + | 213.281i | 0.320935 | + | 0.298296i | ||||
\(716\) | 61.1192 | − | 35.2872i | 0.0853621 | − | 0.0492838i | ||||
\(717\) | 970.971 | + | 682.478i | 1.35421 | + | 0.951852i | ||||
\(718\) | −271.144 | + | 72.6529i | −0.377638 | + | 0.101188i | ||||
\(719\) | −276.671 | + | 159.736i | −0.384800 | + | 0.222164i | −0.679905 | − | 0.733301i | \(-0.737979\pi\) |
0.295105 | + | 0.955465i | \(0.404645\pi\) | |||||||
\(720\) | −178.199 | − | 25.3982i | −0.247499 | − | 0.0352753i | ||||
\(721\) | −334.473 | − | 1273.07i | −0.463902 | − | 1.76570i | ||||
\(722\) | 807.544 | + | 807.544i | 1.11848 | + | 1.11848i | ||||
\(723\) | 279.392 | + | 601.973i | 0.386435 | + | 0.832604i | ||||
\(724\) | −194.579 | + | 337.020i | −0.268755 | + | 0.465497i | ||||
\(725\) | 74.7482 | − | 154.539i | 0.103101 | − | 0.213157i | ||||
\(726\) | 336.707 | + | 123.235i | 0.463784 | + | 0.169745i | ||||
\(727\) | −962.101 | − | 962.101i | −1.32338 | − | 1.32338i | −0.911018 | − | 0.412367i | \(-0.864702\pi\) |
−0.412367 | − | 0.911018i | \(-0.635298\pi\) | |||||||
\(728\) | −178.350 | + | 101.814i | −0.244986 | + | 0.139854i | ||||
\(729\) | −627.377 | − | 371.268i | −0.860599 | − | 0.509283i | ||||
\(730\) | −7.54057 | − | 12.0236i | −0.0103295 | − | 0.0164707i | ||||
\(731\) | −284.511 | + | 492.788i | −0.389209 | + | 0.674129i | ||||
\(732\) | 95.7094 | + | 67.2724i | 0.130751 | + | 0.0919021i | ||||
\(733\) | −377.079 | − | 101.038i | −0.514433 | − | 0.137842i | −0.00774251 | − | 0.999970i | \(-0.502465\pi\) |
−0.506690 | + | 0.862128i | \(0.669131\pi\) | |||||||
\(734\) | − | 665.487i | − | 0.906658i | ||||||
\(735\) | 612.426 | + | 406.398i | 0.833233 | + | 0.552922i | ||||
\(736\) | 155.499 | 0.211275 | ||||||||
\(737\) | 17.6905 | − | 66.0218i | 0.0240034 | − | 0.0895818i | ||||
\(738\) | −231.118 | + | 19.3857i | −0.313168 | + | 0.0262679i | ||||
\(739\) | 665.653 | + | 384.315i | 0.900749 | + | 0.520047i | 0.877443 | − | 0.479681i | \(-0.159248\pi\) |
0.0233056 | + | 0.999728i | \(0.492581\pi\) | |||||||
\(740\) | 78.9067 | − | 344.353i | 0.106631 | − | 0.465342i | ||||
\(741\) | 682.284 | + | 816.080i | 0.920761 | + | 1.10132i | ||||
\(742\) | 392.715 | + | 687.928i | 0.529265 | + | 0.927126i | ||||
\(743\) | −411.294 | + | 411.294i | −0.553559 | + | 0.553559i | −0.927466 | − | 0.373907i | \(-0.878018\pi\) |
0.373907 | + | 0.927466i | \(0.378018\pi\) | |||||||
\(744\) | 358.025 | + | 131.038i | 0.481217 | + | 0.176126i | ||||
\(745\) | −91.9979 | + | 173.708i | −0.123487 | + | 0.233166i | ||||
\(746\) | 331.818 | + | 191.575i | 0.444796 | + | 0.256803i | ||||
\(747\) | −24.7230 | + | 52.5262i | −0.0330963 | + | 0.0703162i | ||||
\(748\) | 199.178 | − | 199.178i | 0.266281 | − | 0.266281i | ||||
\(749\) | −562.857 | + | 147.879i | −0.751477 | + | 0.197435i | ||||
\(750\) | 367.207 | − | 382.635i | 0.489609 | − | 0.510180i | ||||
\(751\) | 569.327 | + | 986.103i | 0.758091 | + | 1.31305i | 0.943823 | + | 0.330452i | \(0.107201\pi\) |
−0.185731 | + | 0.982601i | \(0.559465\pi\) | |||||||
\(752\) | −24.9956 | − | 93.2849i | −0.0332388 | − | 0.124049i | ||||
\(753\) | 568.908 | + | 399.875i | 0.755522 | + | 0.531042i | ||||
\(754\) | 50.3633 | + | 87.2319i | 0.0667949 | + | 0.115692i | ||||
\(755\) | −190.473 | + | 6.96370i | −0.252283 | + | 0.00922345i | ||||
\(756\) | −364.098 | − | 101.572i | −0.481611 | − | 0.134355i | ||||
\(757\) | −264.443 | + | 264.443i | −0.349331 | + | 0.349331i | −0.859860 | − | 0.510530i | \(-0.829449\pi\) |
0.510530 | + | 0.859860i | \(0.329449\pi\) | |||||||
\(758\) | −653.692 | − | 175.156i | −0.862390 | − | 0.231077i | ||||
\(759\) | −85.6220 | − | 490.728i | −0.112809 | − | 0.646545i | ||||
\(760\) | 142.099 | + | 462.079i | 0.186973 | + | 0.607998i | ||||
\(761\) | −692.515 | − | 1199.47i | −0.910006 | − | 1.57618i | −0.814052 | − | 0.580792i | \(-0.802743\pi\) |
−0.0959541 | − | 0.995386i | \(-0.530590\pi\) | |||||||
\(762\) | −78.9464 | + | 884.109i | −0.103604 | + | 1.16025i | ||||
\(763\) | 1.14312 | − | 234.397i | 0.00149819 | − | 0.307204i | ||||
\(764\) | −264.260 | −0.345890 | ||||||||
\(765\) | −964.994 | − | 411.835i | −1.26143 | − | 0.538347i | ||||
\(766\) | 522.505 | + | 301.669i | 0.682122 | + | 0.393823i | ||||
\(767\) | −1133.40 | + | 303.695i | −1.47771 | + | 0.395951i | ||||
\(768\) | 43.5391 | − | 20.2077i | 0.0566915 | − | 0.0263121i | ||||
\(769\) | −1084.88 | −1.41077 | −0.705386 | − | 0.708823i | \(-0.749227\pi\) | ||||
−0.705386 | + | 0.708823i | \(0.749227\pi\) | |||||||
\(770\) | 86.4907 | + | 286.211i | 0.112326 | + | 0.371703i | ||||
\(771\) | −62.0702 | − | 74.2422i | −0.0805061 | − | 0.0962933i | ||||
\(772\) | 406.036 | + | 108.797i | 0.525953 | + | 0.140929i | ||||
\(773\) | −1385.93 | + | 371.358i | −1.79292 | + | 0.480411i | −0.992837 | − | 0.119480i | \(-0.961877\pi\) |
−0.800082 | + | 0.599891i | \(0.795211\pi\) | |||||||
\(774\) | 237.238 | + | 200.520i | 0.306509 | + | 0.259069i | ||||
\(775\) | −929.175 | + | 631.173i | −1.19894 | + | 0.814416i | ||||
\(776\) | 153.782 | 0.198172 | ||||||||
\(777\) | 258.383 | − | 695.436i | 0.332539 | − | 0.895027i | ||||
\(778\) | −233.030 | − | 233.030i | −0.299524 | − | 0.299524i | ||||
\(779\) | 311.452 | + | 539.451i | 0.399810 | + | 0.692492i | ||||
\(780\) | 64.6497 | + | 304.385i | 0.0828842 | + | 0.390237i | ||||
\(781\) | 243.604 | − | 421.935i | 0.311913 | − | 0.540249i | ||||
\(782\) | 875.501 | + | 234.590i | 1.11957 | + | 0.299987i | ||||
\(783\) | −48.9472 | + | 178.822i | −0.0625124 | + | 0.228381i | ||||
\(784\) | −195.991 | − | 1.91169i | −0.249988 | − | 0.00243837i | ||||
\(785\) | 219.646 | + | 204.152i | 0.279804 | + | 0.260066i | ||||
\(786\) | 596.316 | + | 218.252i | 0.758672 | + | 0.277675i | ||||
\(787\) | −475.774 | + | 127.483i | −0.604542 | + | 0.161986i | −0.548091 | − | 0.836419i | \(-0.684645\pi\) |
−0.0564509 | + | 0.998405i | \(0.517978\pi\) | |||||||
\(788\) | 69.1876 | + | 258.212i | 0.0878016 | + | 0.327680i | ||||
\(789\) | 172.319 | − | 470.816i | 0.218402 | − | 0.596725i | ||||
\(790\) | 406.809 | − | 437.684i | 0.514948 | − | 0.554030i | ||||
\(791\) | 120.442 | + | 32.9027i | 0.152265 | + | 0.0415963i | ||||
\(792\) | −87.7459 | − | 126.275i | −0.110790 | − | 0.159438i | ||||
\(793\) | 52.3437 | − | 195.349i | 0.0660072 | − | 0.246342i | ||||
\(794\) | −67.0365 | − | 38.7035i | −0.0844288 | − | 0.0487450i | ||||
\(795\) | 1174.07 | − | 249.366i | 1.47681 | − | 0.313667i | ||||
\(796\) | 633.149 | − | 365.549i | 0.795414 | − | 0.459232i | ||||
\(797\) | −183.570 | + | 183.570i | −0.230326 | + | 0.230326i | −0.812829 | − | 0.582503i | \(-0.802074\pi\) |
0.582503 | + | 0.812829i | \(0.302074\pi\) | |||||||
\(798\) | 169.618 | + | 1000.94i | 0.212554 | + | 1.25431i | ||||
\(799\) | − | 562.929i | − | 0.704542i | ||||||
\(800\) | −26.5298 | + | 138.911i | −0.0331622 | + | 0.173638i | ||||
\(801\) | −171.213 | − | 144.714i | −0.213749 | − | 0.180666i | ||||
\(802\) | −167.480 | − | 625.043i | −0.208828 | − | 0.779356i | ||||
\(803\) | 3.13798 | − | 11.7111i | 0.00390781 | − | 0.0145842i | ||||
\(804\) | 52.0860 | − | 43.5465i | 0.0647836 | − | 0.0541623i | ||||
\(805\) | −658.426 | + | 701.505i | −0.817920 | + | 0.871435i | ||||
\(806\) | − | 659.089i | − | 0.817728i | ||||||
\(807\) | −440.662 | − | 949.442i | −0.546050 | − | 1.17651i | ||||
\(808\) | 17.1743 | + | 64.0955i | 0.0212554 | + | 0.0793261i | ||||
\(809\) | 554.415 | − | 960.275i | 0.685309 | − | 1.18699i | −0.288030 | − | 0.957621i | \(-0.593000\pi\) |
0.973340 | − | 0.229369i | \(-0.0736663\pi\) | |||||||
\(810\) | −314.598 | + | 478.621i | −0.388392 | + | 0.590890i | ||||
\(811\) | 715.199i | 0.881873i | 0.897538 | + | 0.440937i | \(0.145354\pi\) | ||||
−0.897538 | + | 0.440937i | \(0.854646\pi\) | |||||||
\(812\) | −0.468824 | + | 96.1323i | −0.000577369 | + | 0.118389i | ||||
\(813\) | −58.9146 | − | 5.26077i | −0.0724657 | − | 0.00647081i | ||||
\(814\) | 261.362 | − | 150.897i | 0.321084 | − | 0.185378i | ||||
\(815\) | −27.9406 | + | 8.59235i | −0.0342830 | + | 0.0105428i | ||||
\(816\) | 275.623 | − | 48.0906i | 0.337773 | − | 0.0589346i | ||||
\(817\) | 215.925 | − | 805.842i | 0.264290 | − | 0.986343i | ||||
\(818\) | −332.873 | − | 332.873i | −0.406935 | − | 0.406935i | ||||
\(819\) | 51.4434 | + | 651.439i | 0.0628124 | + | 0.795408i | ||||
\(820\) | 6.65755 | + | 182.100i | 0.00811897 | + | 0.222073i | ||||
\(821\) | 1269.36 | − | 732.866i | 1.54612 | − | 0.892650i | 0.547683 | − | 0.836686i | \(-0.315510\pi\) |
0.998433 | − | 0.0559644i | \(-0.0178233\pi\) | |||||||
\(822\) | 61.6606 | − | 87.7254i | 0.0750129 | − | 0.106722i | ||||
\(823\) | −939.371 | + | 251.704i | −1.14140 | + | 0.305837i | −0.779513 | − | 0.626386i | \(-0.784533\pi\) |
−0.361885 | + | 0.932223i | \(0.617867\pi\) | |||||||
\(824\) | 460.601 | − | 265.928i | 0.558982 | − | 0.322728i | ||||
\(825\) | 452.987 | + | 7.23539i | 0.549075 | + | 0.00877016i | ||||
\(826\) | −1080.29 | − | 295.118i | −1.30786 | − | 0.357285i | ||||
\(827\) | −618.411 | − | 618.411i | −0.747776 | − | 0.747776i | 0.226285 | − | 0.974061i | \(-0.427342\pi\) |
−0.974061 | + | 0.226285i | \(0.927342\pi\) | |||||||
\(828\) | 210.715 | − | 447.683i | 0.254486 | − | 0.540680i | ||||
\(829\) | −678.323 | + | 1174.89i | −0.818242 | + | 1.41724i | 0.0887341 | + | 0.996055i | \(0.471718\pi\) |
−0.906976 | + | 0.421182i | \(0.861615\pi\) | |||||||
\(830\) | 40.3074 | + | 21.3472i | 0.0485631 | + | 0.0257196i | ||||
\(831\) | −231.060 | + | 631.309i | −0.278050 | + | 0.759698i | ||||
\(832\) | −58.6757 | − | 58.6757i | −0.0705237 | − | 0.0705237i | ||||
\(833\) | −1100.60 | − | 306.440i | −1.32125 | − | 0.367876i | ||||
\(834\) | −772.842 | + | 646.135i | −0.926669 | + | 0.774742i | ||||
\(835\) | 42.3077 | + | 9.69458i | 0.0506679 | + | 0.0116103i | ||||
\(836\) | −206.492 | + | 357.654i | −0.246999 | + | 0.427816i | ||||
\(837\) | 862.416 | − | 853.192i | 1.03037 | − | 1.01935i | ||||
\(838\) | −515.323 | − | 138.080i | −0.614944 | − | 0.164774i | ||||
\(839\) | 1498.76i | 1.78637i | 0.449693 | + | 0.893183i | \(0.351533\pi\) | ||||
−0.449693 | + | 0.893183i | \(0.648467\pi\) | |||||||
\(840\) | −93.1935 | + | 281.984i | −0.110945 | + | 0.335695i | ||||
\(841\) | −793.849 | −0.943934 | ||||||||
\(842\) | 72.3847 | − | 270.143i | 0.0859676 | − | 0.320835i | ||||
\(843\) | −391.581 | + | 557.108i | −0.464509 | + | 0.660863i | ||||
\(844\) | −85.6360 | − | 49.4419i | −0.101464 | − | 0.0585805i | ||||
\(845\) | −260.132 | + | 163.141i | −0.307848 | + | 0.193067i | ||||
\(846\) | −302.440 | − | 54.4468i | −0.357494 | − | 0.0643579i | ||||
\(847\) | 298.284 | − | 510.873i | 0.352165 | − | 0.603156i | ||||
\(848\) | −226.323 | + | 226.323i | −0.266890 | + | 0.266890i | ||||
\(849\) | −98.8488 | + | 270.078i | −0.116430 | + | 0.318113i | ||||
\(850\) | −358.935 | + | 742.082i | −0.422276 | + | 0.873038i | ||||
\(851\) | 841.006 | + | 485.555i | 0.988256 | + | 0.570570i | ||||
\(852\) | 438.959 | − | 203.733i | 0.515210 | − | 0.239123i | ||||
\(853\) | −4.38891 | + | 4.38891i | −0.00514527 | + | 0.00514527i | −0.709675 | − | 0.704529i | \(-0.751158\pi\) |
0.704529 | + | 0.709675i | \(0.251158\pi\) | |||||||
\(854\) | 137.148 | − | 135.817i | 0.160595 | − | 0.159036i | ||||
\(855\) | 1522.89 | + | 217.053i | 1.78116 | + | 0.253863i | ||||
\(856\) | −117.573 | − | 203.643i | −0.137352 | − | 0.237901i | ||||
\(857\) | 198.787 | + | 741.882i | 0.231956 | + | 0.865673i | 0.979497 | + | 0.201457i | \(0.0645677\pi\) |
−0.747541 | + | 0.664216i | \(0.768766\pi\) | |||||||
\(858\) | −152.862 | + | 217.479i | −0.178161 | + | 0.253472i | ||||
\(859\) | 506.657 | + | 877.555i | 0.589821 | + | 1.02160i | 0.994255 | + | 0.107033i | \(0.0341352\pi\) |
−0.404434 | + | 0.914567i | \(0.632531\pi\) | |||||||
\(860\) | 166.151 | − | 178.761i | 0.193199 | − | 0.207862i | ||||
\(861\) | −35.8929 | + | 380.977i | −0.0416875 | + | 0.442482i | ||||
\(862\) | 164.566 | − | 164.566i | 0.190911 | − | 0.190911i | ||||
\(863\) | 846.176 | + | 226.732i | 0.980505 | + | 0.262726i | 0.713257 | − | 0.700902i | \(-0.247219\pi\) |
0.267248 | + | 0.963628i | \(0.413886\pi\) | |||||||
\(864\) | 0.821180 | − | 152.733i | 0.000950440 | − | 0.176774i | ||||
\(865\) | 962.695 | − | 296.050i | 1.11294 | − | 0.342254i | ||||
\(866\) | −346.623 | − | 600.369i | −0.400258 | − | 0.693267i | ||||
\(867\) | 760.821 | + | 67.9374i | 0.877533 | + | 0.0783591i | ||||
\(868\) | 317.170 | − | 543.219i | 0.365403 | − | 0.625828i | ||||
\(869\) | 510.465 | 0.587416 | ||||||||
\(870\) | 138.528 | + | 45.0342i | 0.159227 | + | 0.0517634i | ||||
\(871\) | −101.643 | − | 58.6836i | −0.116697 | − | 0.0673750i | ||||
\(872\) | 91.4844 | − | 24.5132i | 0.104913 | − | 0.0281114i | ||||
\(873\) | 208.388 | − | 442.740i | 0.238704 | − | 0.507148i | ||||
\(874\) | −1328.89 | −1.52047 | ||||||||
\(875\) | −514.337 | − | 707.872i | −0.587813 | − | 0.808997i | ||||
\(876\) | 9.23912 | − | 7.72437i | 0.0105469 | − | 0.00881777i | ||||
\(877\) | −1239.04 | − | 332.001i | −1.41282 | − | 0.378564i | −0.529890 | − | 0.848067i | \(-0.677767\pi\) |
−0.882931 | + | 0.469502i | \(0.844433\pi\) | |||||||
\(878\) | 736.690 | − | 197.395i | 0.839054 | − | 0.224824i | ||||
\(879\) | −139.145 | − | 797.485i | −0.158299 | − | 0.907264i | ||||
\(880\) | −102.349 | + | 64.1882i | −0.116306 | + | 0.0729412i | ||||
\(881\) | −1186.25 | −1.34648 | −0.673241 | − | 0.739423i | \(-0.735098\pi\) | ||||
−0.673241 | + | 0.739423i | \(0.735098\pi\) | |||||||
\(882\) | −271.089 | + | 561.670i | −0.307357 | + | 0.636814i | ||||
\(883\) | 459.415 | + | 459.415i | 0.520289 | + | 0.520289i | 0.917659 | − | 0.397369i | \(-0.130077\pi\) |
−0.397369 | + | 0.917659i | \(0.630077\pi\) | |||||||
\(884\) | −241.841 | − | 418.880i | −0.273575 | − | 0.473847i | ||||
\(885\) | −924.403 | + | 1422.97i | −1.04452 | + | 1.60788i | ||||
\(886\) | −249.829 | + | 432.716i | −0.281974 | + | 0.488393i | ||||
\(887\) | 862.823 | + | 231.193i | 0.972743 | + | 0.260646i | 0.709986 | − | 0.704216i | \(-0.248701\pi\) |
0.262758 | + | 0.964862i | \(0.415368\pi\) | |||||||
\(888\) | 298.579 | + | 26.6615i | 0.336237 | + | 0.0300242i | ||||
\(889\) | 1412.74 | + | 385.937i | 1.58914 | + | 0.434125i | ||||
\(890\) | −119.910 | + | 129.011i | −0.134730 | + | 0.144956i | ||||
\(891\) | −482.452 | + | 81.5076i | −0.541472 | + | 0.0914788i | ||||
\(892\) | −403.441 | + | 108.102i | −0.452288 | + | 0.121190i | ||||
\(893\) | 213.612 | + | 797.212i | 0.239207 | + | 0.892734i | ||||
\(894\) | −156.631 | − | 57.3270i | −0.175202 | − | 0.0641241i | ||||
\(895\) | −176.318 | + | 6.44619i | −0.197004 | + | 0.00720245i | ||||
\(896\) | −20.1241 | − | 76.5965i | −0.0224600 | − | 0.0854871i | ||||
\(897\) | −851.984 | − | 76.0778i | −0.949815 | − | 0.0848136i | ||||
\(898\) | 159.866 | − | 596.627i | 0.178024 | − | 0.664395i | ||||
\(899\) | −267.191 | − | 154.263i | −0.297210 | − | 0.171594i | ||||
\(900\) | 363.976 | + | 264.616i | 0.404417 | + | 0.294018i | ||||
\(901\) | −1615.70 | + | 932.823i | −1.79323 | + | 1.03532i | ||||
\(902\) | −110.072 | + | 110.072i | −0.122032 | + | 0.122032i | ||||
\(903\) | 394.794 | − | 326.810i | 0.437203 | − | 0.361916i | ||||
\(904\) | 50.4492i | 0.0558066i | ||||||||
\(905\) | 824.215 | − | 516.905i | 0.910734 | − | 0.571165i | ||||
\(906\) | −27.7986 | − | 159.323i | −0.0306828 | − | 0.175853i | ||||
\(907\) | 162.889 | + | 607.910i | 0.179591 | + | 0.670242i | 0.995724 | + | 0.0923782i | \(0.0294469\pi\) |
−0.816133 | + | 0.577864i | \(0.803886\pi\) | |||||||
\(908\) | −113.895 | + | 425.062i | −0.125435 | + | 0.468130i | ||||
\(909\) | 207.805 | + | 37.4101i | 0.228608 | + | 0.0411552i | ||||
\(910\) | 513.155 | − | 16.2554i | 0.563907 | − | 0.0178631i | ||||
\(911\) | − | 911.280i | − | 1.00031i | −0.865937 | − | 0.500154i | \(-0.833277\pi\) | ||
0.865937 | − | 0.500154i | \(-0.166723\pi\) | |||||||
\(912\) | −372.084 | + | 172.695i | −0.407987 | + | 0.189358i | ||||
\(913\) | 10.0847 | + | 37.6366i | 0.0110457 | + | 0.0412230i | ||||
\(914\) | 22.2195 | − | 38.4853i | 0.0243102 | − | 0.0421064i | ||||
\(915\) | −132.737 | − | 260.610i | −0.145067 | − | 0.284820i | ||||
\(916\) | 598.496i | 0.653380i | ||||||||
\(917\) | 528.268 | − | 904.768i | 0.576083 | − | 0.986661i | ||||
\(918\) | 235.041 | − | 858.690i | 0.256036 | − | 0.935392i | ||||
\(919\) | −687.784 | + | 397.092i | −0.748404 | + | 0.432092i | −0.825117 | − | 0.564962i | \(-0.808891\pi\) |
0.0767126 | + | 0.997053i | \(0.475558\pi\) | |||||||
\(920\) | −343.541 | − | 181.943i | −0.373414 | − | 0.197764i | ||||
\(921\) | −24.9073 | − | 142.752i | −0.0270438 | − | 0.154997i | ||||
\(922\) | 56.4099 | − | 210.524i | 0.0611821 | − | 0.228335i | ||||
\(923\) | −591.566 | − | 591.566i | −0.640916 | − | 0.640916i | ||||
\(924\) | −230.645 | + | 105.685i | −0.249616 | + | 0.114377i | ||||
\(925\) | −577.243 | + | 668.450i | −0.624046 | + | 0.722649i | ||||
\(926\) | −347.231 | + | 200.474i | −0.374979 | + | 0.216494i | ||||
\(927\) | −141.455 | − | 1686.44i | −0.152594 | − | 1.81924i | ||||
\(928\) | −37.5202 | + | 10.0535i | −0.0404312 | + | 0.0108335i | ||||
\(929\) | 445.001 | − | 256.922i | 0.479011 | − | 0.276557i | −0.240993 | − | 0.970527i | \(-0.577473\pi\) |
0.720004 | + | 0.693970i | \(0.244140\pi\) | |||||||
\(930\) | −637.658 | − | 708.412i | −0.685654 | − | 0.761734i | ||||
\(931\) | 1674.93 | + | 16.3372i | 1.79907 | + | 0.0175481i | ||||
\(932\) | −169.674 | − | 169.674i | −0.182054 | − | 0.182054i | ||||
\(933\) | 1481.24 | − | 687.486i | 1.58761 | − | 0.736855i | ||||
\(934\) | −68.5244 | + | 118.688i | −0.0733666 | + | 0.127075i | ||||
\(935\) | −673.092 | + | 206.990i | −0.719884 | + | 0.221380i | ||||
\(936\) | −248.439 | + | 89.4173i | −0.265426 | + | 0.0955313i | ||||
\(937\) | 35.0323 | + | 35.0323i | 0.0373877 | + | 0.0373877i | 0.725553 | − | 0.688166i | \(-0.241584\pi\) |
−0.688166 | + | 0.725553i | \(0.741584\pi\) | |||||||
\(938\) | −55.5338 | − | 97.2799i | −0.0592045 | − | 0.103710i | ||||
\(939\) | −884.644 | − | 1058.12i | −0.942113 | − | 1.12686i | ||||
\(940\) | −53.9268 | + | 235.340i | −0.0573689 | + | 0.250361i | ||||
\(941\) | −423.536 | + | 733.586i | −0.450091 | + | 0.779581i | −0.998391 | − | 0.0567009i | \(-0.981942\pi\) |
0.548300 | + | 0.836282i | \(0.315275\pi\) | |||||||
\(942\) | −146.319 | + | 208.170i | −0.155328 | + | 0.220988i | ||||
\(943\) | −483.832 | − | 129.642i | −0.513077 | − | 0.137479i | ||||
\(944\) | − | 452.499i | − | 0.479342i | ||||||
\(945\) | 685.551 | + | 650.419i | 0.725450 | + | 0.688274i | ||||
\(946\) | 208.487 | 0.220388 | ||||||||
\(947\) | −391.578 | + | 1461.39i | −0.413493 | + | 1.54318i | 0.374341 | + | 0.927291i | \(0.377869\pi\) |
−0.787835 | + | 0.615887i | \(0.788798\pi\) | |||||||
\(948\) | 414.816 | + | 291.567i | 0.437570 | + | 0.307560i | ||||
\(949\) | −18.0297 | − | 10.4094i | −0.0189986 | − | 0.0109688i | ||||
\(950\) | 226.723 | − | 1187.13i | 0.238656 | − | 1.24961i | ||||
\(951\) | 42.8132 | − | 35.7939i | 0.0450191 | − | 0.0376382i | ||||
\(952\) | 2.25125 | − | 461.619i | 0.00236476 | − | 0.484894i | ||||
\(953\) | −88.2376 | + | 88.2376i | −0.0925893 | + | 0.0925893i | −0.751884 | − | 0.659295i | \(-0.770855\pi\) |
0.659295 | + | 0.751884i | \(0.270855\pi\) | |||||||
\(954\) | 344.899 | + | 958.274i | 0.361529 | + | 1.00448i | ||||
\(955\) | 583.827 | + | 309.201i | 0.611337 | + | 0.323771i | ||||
\(956\) | 685.215 | + | 395.609i | 0.716752 | + | 0.413817i | ||||
\(957\) | 52.3869 | + | 112.872i | 0.0547407 | + | 0.117943i | ||||
\(958\) | −107.041 | + | 107.041i | −0.111734 | + | 0.111734i | ||||
\(959\) | −124.487 | − | 125.708i | −0.129810 | − | 0.131082i | ||||
\(960\) | −119.835 | − | 6.29890i | −0.124828 | − | 0.00656135i | ||||
\(961\) | 528.896 | + | 916.074i | 0.550360 | + | 0.953251i | ||||
\(962\) | −134.126 | − | 500.563i | −0.139424 | − | 0.520336i | ||||
\(963\) | −745.614 | + | 62.5406i | −0.774262 | + | 0.0649435i | ||||
\(964\) | 221.217 | + | 383.158i | 0.229478 | + | 0.397467i | ||||
\(965\) | −769.751 | − | 715.452i | −0.797669 | − | 0.741401i | ||||
\(966\) | −665.592 | − | 472.699i | −0.689018 | − | 0.489336i | ||||
\(967\) | −11.0507 | + | 11.0507i | −0.0114278 | + | 0.0114278i | −0.712798 | − | 0.701370i | \(-0.752572\pi\) |
0.701370 | + | 0.712798i | \(0.252572\pi\) | |||||||
\(968\) | 230.889 | + | 61.8665i | 0.238522 | + | 0.0639117i | ||||
\(969\) | −2355.47 | + | 410.982i | −2.43083 | + | 0.424130i | ||||
\(970\) | −339.748 | − | 179.934i | −0.350256 | − | 0.185499i | ||||
\(971\) | −528.106 | − | 914.707i | −0.543879 | − | 0.942025i | −0.998677 | − | 0.0514307i | \(-0.983622\pi\) |
0.454798 | − | 0.890595i | \(-0.349711\pi\) | |||||||
\(972\) | −438.607 | − | 209.331i | −0.451242 | − | 0.215361i | ||||
\(973\) | 824.000 | + | 1443.42i | 0.846866 | + | 1.48348i | ||||
\(974\) | −667.923 | −0.685753 | ||||||||
\(975\) | 213.320 | − | 748.118i | 0.218790 | − | 0.767301i | ||||
\(976\) | 67.5422 | + | 38.9955i | 0.0692031 | + | 0.0399544i | ||||
\(977\) | −1548.70 | + | 414.973i | −1.58516 | + | 0.424743i | −0.940519 | − | 0.339742i | \(-0.889660\pi\) |
−0.644642 | + | 0.764484i | \(0.722994\pi\) | |||||||
\(978\) | −10.4424 | − | 22.4989i | −0.0106773 | − | 0.0230050i | ||||
\(979\) | −150.463 | −0.153691 | ||||||||
\(980\) | 430.763 | + | 233.545i | 0.439554 | + | 0.238311i | ||||
\(981\) | 53.3959 | − | 296.603i | 0.0544301 | − | 0.302347i | ||||
\(982\) | 311.502 | + | 83.4668i | 0.317212 | + | 0.0849967i | ||||
\(983\) | −758.449 | + | 203.226i | −0.771565 | + | 0.206740i | −0.623063 | − | 0.782172i | \(-0.714112\pi\) |
−0.148502 | + | 0.988912i | \(0.547445\pi\) | |||||||
\(984\) | −152.319 | + | 26.5765i | −0.154795 | + | 0.0270086i | ||||
\(985\) | 149.269 | − | 651.418i | 0.151542 | − | 0.661338i | ||||
\(986\) | −226.416 | −0.229631 | ||||||||
\(987\) | −176.585 | + | 475.278i | −0.178911 | + | 0.481538i | ||||
\(988\) | 501.442 | + | 501.442i | 0.507532 | + | 0.507532i | ||||
\(989\) | 335.433 | + | 580.986i | 0.339163 | + | 0.587448i | ||||
\(990\) | 46.1061 | + | 381.646i | 0.0465718 | + | 0.385501i | ||||
\(991\) | 517.260 | − | 895.920i | 0.521957 | − | 0.904056i | −0.477717 | − | 0.878514i | \(-0.658535\pi\) |
0.999674 | − | 0.0255424i | \(-0.00813127\pi\) | |||||||
\(992\) | 245.507 | + | 65.7835i | 0.247487 | + | 0.0663140i | ||||
\(993\) | −43.8160 | + | 490.690i | −0.0441249 | + | 0.494149i | ||||
\(994\) | −202.890 | − | 772.242i | −0.204115 | − | 0.776903i | ||||
\(995\) | −1826.52 | + | 66.7777i | −1.83570 | + | 0.0671133i | ||||
\(996\) | −13.3022 | + | 36.3446i | −0.0133556 | + | 0.0364906i | ||||
\(997\) | 188.715 | − | 50.5660i | 0.189283 | − | 0.0507181i | −0.162932 | − | 0.986637i | \(-0.552095\pi\) |
0.352215 | + | 0.935919i | \(0.385429\pi\) | |||||||
\(998\) | 298.638 | + | 1114.53i | 0.299237 | + | 1.11677i | ||||
\(999\) | 481.360 | − | 823.483i | 0.481842 | − | 0.824308i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 210.3.w.a.143.3 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.b.143.11 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.b.17.5 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.a.173.2 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.a.17.2 | ✓ | 64 | |
21.5 | even | 6 | 210.3.w.b.173.5 | yes | 64 | ||
35.12 | even | 12 | 210.3.w.b.47.11 | yes | 64 | ||
105.47 | odd | 12 | inner | 210.3.w.a.47.3 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.2 | ✓ | 64 | 15.2 | even | 4 | inner | |
210.3.w.a.47.3 | yes | 64 | 105.47 | odd | 12 | inner | |
210.3.w.a.143.3 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.a.173.2 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.17.5 | yes | 64 | 5.2 | odd | 4 | ||
210.3.w.b.47.11 | yes | 64 | 35.12 | even | 12 | ||
210.3.w.b.143.11 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.b.173.5 | yes | 64 | 21.5 | even | 6 |